RD SHARMA Solutions for Class 12-science Maths Chapter 23 - Algebra of Vectors

Chapter 23 - Algebra of Vectors Exercise Ex. 23.1

Question 1(i)

Represent graphically a dispacement of 40 km, 30° east of north.

Solution 1(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 1(ii)

Represent graphically a displacement of 50 km, south-east

Solution 1(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Here, vector Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors represents the displacement of 50 km, south-east.

Question 1(iii)

Represent graphically a displacement of 70 km, 40° north of west.

Solution 1(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Here, vector Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors represents the displacement of 70 km, 40° north of west.

Question 2

Classify the following measures as scalars and vectors.

(i) 15 kg

(ii) 20 kg weight

(iii) 45°

(iv) 10 metres south-east

(v) 50 m/s2

Solution 2

(i) 15 kg is a scalar quantity because it involves only

(ii) 20 kg weight is a vector quantity as it involves both magnitude and direction.

(iii) 45° is a scalar quantity as it involves only magnitude.

(iv) 10 metres south-east is a vector quantity as it involve direction.

(v) 50 m/s2 is a scalar quantity as it involves magnitude of acceleration.

Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Chapter 23 - Algebra of Vectors Exercise Ex. 23.2

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors     Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors  Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Chapter 23 - Algebra of Vectors Exercise Ex. 23.3

Question 1

Find the position vector of a point R which divides the line joining the two points P and Q with position vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 


Chapter 23 - Algebra of Vectors Exercise Ex. 23.4

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Prove by vector method that the internal bisectors of the angles of a triangle are concurrent.

Solution 6

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Chapter 23 - Algebra of Vectors Exercise Ex. 23.5

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Find |AB| in each case.

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Chapter 23 - Algebra of Vectors Exercise Ex. 23.6

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Chapter 23 - Algebra of Vectors Exercise Ex. 23.7

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 13

Using vectors, find the value of λ such that the points

 , - 10, 3), (1 -1, 3) and (3, 5, 3) are collinear.

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Chapter 23 - Algebra of Vectors Exercise Ex. 23.8

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2 (iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2 (iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2 (iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2 (iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

 

Question 5 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Chapter 23 - Algebra of Vectors Exercise Ex. 23.9

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

 

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7 (i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7 (ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7 (iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7 (iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 10

If a unit vector Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors makes and angles Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors and an acute angle θ with Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors, then find θ and hence, the components of Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors.

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Chapter 23 - Algebra of Vectors Exercise MCQ

Question 1

If in a Δ ABC, A = (0, 0), B = (3, 3Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors), = (-3Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors, 3), then the vector of magnitude 2Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors units directed along AO, where O is the circumcentre of Δ ABC is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Correct option:(a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2

Correct option:(c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

  1. C is a mid-point of AB
  2. C divides AB in the ratio 2:1
  3. 3 AC = 5CB
  4. 2 AC = 3CB

 

Solution 3

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 

 

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

  1. 40
  2. -40
  3. 20
  4. -20
Solution 5

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

  1. Null vector
  2. Unit vector
  3. Constant vector
  4. None of these
Solution 7

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

  1. Rhombus
  2. Rectangle
  3. Square
  4. Parallelogram
Solution 11

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 12

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

NOTE: Answer not matching with back answer.

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 13

Correct option: (d)

 

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

  1. form an isosceles triangle
  2. form a right triangle
  3. are collinear
  4. form a scalene triangle
Solution 14

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

  1. (2,-3)
  2. (-2,3)
  3. (-2,-3)
  4. (2,3)
Solution 15

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 16

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 17

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 18

If a and b are two collinear vectors, then which of the following are incorrect?

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 18

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Question 19

In Figure 23.67, which of the following is not true?

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

 

Solution 19

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors 

Chapter 23 - Algebra of Vectors Exercise Ex. 23VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 3

Define position vector of a point.

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 9

If Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors are position vectors of the points A, B and C respectively, write the value of Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors
Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Question 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Algebra Of Vectors