# RD Sharma Solution CLass 12 Mathematics Chapter 23 Algebra of Vectors

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7

Question 1

Solution 1
Question 2

Solution 2

Question 3

Solution 3
Question 4
Solution 4
Question 5

Solution 5

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Solution 10

## 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

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.4

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

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

Solution 6

Question 1

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Question 2

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Question 3

Solution 3

Question 4

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Question 7

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Question 8

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Question 9

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Question 1

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Question 2

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Question 3

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Question 15

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Solution 19

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.7

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

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Question 9

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Question 10

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Question 11

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Question 12

Solution 12

Question 13

Solution 13

Question 14

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

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

Solution 14

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

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Question 7

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Question 11

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Question 12

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Question 14

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Question 15

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Question 16

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Question 17

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Question 1

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Question 8

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Question 9

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Question 11

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Question 12

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Question 13

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Question 14

Solution 14

## Chapter 23 – Algebra of Vectors Exercise Ex. 23VSAQ

Question 1

Solution 1

Question 2

Solution 2

Question 3

Define position vector of a point.

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

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Question 10

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Question 11

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Question 12

Solution 12

Question 13

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Question 14

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Question 15

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Question 16

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Question 17

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Question 19

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Question 23

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Question 24

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Question 26

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Question 28

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Question 29

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Question 30

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## Chapter 23 – Algebra of Vectors Exercise MCQ

Question 1

Solution 1

Correct option:(a)

Question 2

Solution 2

Correct option:(c)

Question 3

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)

Question 4

Solution 4

Correct option: (d)

Question 5

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

Correct option: (b)

Question 6

Solution 6

Correct option: (b)

Question 7

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

Correct option: (b)

Question 8

Solution 8

Correct option: (c)

Question 9

Solution 9

Correct option: (b)

Question 10

Solution 10

Correct option: (b)

Question 11

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

Correct option: (d)

Question 12

Solution 12

Correct option: (a)

Question 13

Solution 13

Correct option: (d)

Question 14

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

Correct option: (a)

Question 15

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

Correct option: (a)

Question 16

Solution 16

Correct option: (c)

Question 17

Solution 17

Correct option: (d)

Question 18

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

Solution 18

Correct option: (d)

Question 19

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

Solution 19

Correct option: (c)

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