## Chapter 23 – Algebra of vectors Exercise Ex. 23.1

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.2

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.3

Find the position vector of a point R which divides the

line joining the two points P and Q with position vectors

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

Prove by vector method that the internal bisectors of

the angles of a triangle are concurrent.

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.5

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.6

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

Using vectors, find the value of l such that the

points

(l, – 10, 3), (1

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

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.8

## Chapter 23 – Algebra of Vectors Exercise Ex. 23.9

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

Define position vector of a point.

## Chapter 23 – Algebra of Vectors Exercise MCQ

Correct option:(a)

Correct option:(c)

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

Correct option: (c)

Correct option: (d)

- 40
- -40
- 20
- -20

Correct option: (b)

Correct option: (b)

- Null vector
- Unit vector
- Constant vector
- None of these

Correct option: (b)

Correct option: (c)

Correct option: (b)

Correct option: (b)

- Rhombus
- Rectangle
- Square
- Parallelogram

Correct option: (d)

Correct option: (a)

NOTE: Answer not matching with back answer.

Correct option: (d)

- form an isosceles triangle
- form a right triangle
- are collinear
- form a scalene triangle

Correct option: (a)

- (2,-3)
- (-2,3)
- (-2,-3)
- (2,3)

Correct option: (a)

Correct option: (c)

Correct option: (d)

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

Correct option: (d)

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

Correct option: (c)