# NCERT Class 12-Mathematics: Chapter –10 Vector Algebra Part 8

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**Question 23:**

Find the value of such that the vectors are orthogonal to each other

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 24:**

The value of for which the vectors are parallel is

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 25:**

The vectors from origin to the points A and B are , respectively, then the area of triangle OAB is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 26:**

For any vector , the value of is equal to

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 27:**

If , then value of is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 28:**

The vectors and are coplanar if

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 29:**

If are unit vectors such that , then the value of is.

(A)

(B)

(C)

(D) None of these

**Answer: (C)**

**Question 30:**

Projection vector of is

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 31:**

If are three vectors such that then value of

(A)

(B)

(C)

(D)

**Answer: (C)**