# NCERT Class 12-Mathematics: Chapter –10 Vector Algebra Part 9

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**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**