# NCERT Class 12-Mathematics: Chapter – 10 Vector Algebra Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get unlimited access to the best preparation resource for CBSE : fully solved questions with step-by-step explanation- practice your way to success.

**Question 32**:

If , then the range of is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 33**:

The number of vectors of unit length perpendicular to the vectors and is

(A) One

(B) Two

(C) Three

(D) Infinite

**Answer: (B)**

## Fill in the Blanks in Each of the Exercises from 34 to 40

**Question 34**:

The vector bisects the angle between the non-collinear vectors and if ________

**Answer**:

If and are equal vectors

**Question 35**:

If for some non-zero vector then the value of is ________.

**Answer**:

**Question 36**:

The vectors and are the adjacent sides of a parallelogram. The acute angle between its diagonals is ________.

**Answer**:

**Question 37**:

The values of for which is parallel to holds true are ________.

**Answer**:

**Question 38**:

The value of the expression is________.

**Answer**:

**Question 39**:

If is equal to ________.

**Answer**:

**Question 40**:

If is any non-zero vector, then equals ________

**Answer**:

### State True or False in Each of the Following Exercises

**Question 41**:

If , then necessarily it implies

**Answer: True**

**Question 42**:

Position vector of a point is a vector whose initial point is origin.

**Answer: True**

**Question 43**:

If then the vectors and are orthogonal.

**Answer: True**

**Question 44**:

The formula is valid for non-zero vectors and .

**Answer: False**

**Question 45**:

If and are adjacent sides of a rhombus, then .

**Answer: False**