NCERT Class 12 Chapter 10 Maths Vector Algebra MCQ

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1. The length of longer diagronai of the parallelogram constructed on 5a + 2b and a – 3b. If it is given that
|a| = 2√2, |b| = 3 and angle between a and b is π/4, is

A. 15

B. √113

C. √593

D. √369

2. A vector equally inclined to axes is CBSE Class12 Maths Vector Algebra (2q)

A. (a)

B. (b)

C. (c)

D. (d)

3. If a, b, c and d are the position vectors of the points A, B, C and D such that a + c = b + d, then ABCD is a

A. Trapezium

B. Rectangle

C. Square

D. Parallelogram

4. Which of the following represents equal vectors?

A. a, c

B. b, d

C. b, c

D. m, d

A. (a)

B. (b)

C. (c)

D. (d)

A. (a)

B. (b)

C. (c)

D. (d)

7. Which of the following represents collinear but not equal vectors?

A. a, c

B. b, d

C. b, m

D. Both (a) and (b)

8. A vector in the direction of vector i^−2j^+2k^ that has magnitude 15 is CBSE Class12 Maths Vector Algebra (8Q)

A. (a)

B. (b)

C. (c)

D. (d)

9. Two or more vectors having the same initial point are called

A. co-terminus vectors

B. zero vectors

C. co-initial vectors

D. unit vectors

10. The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is

A. √3

B. 1 – √3

C. 1 + √3

D. -√3

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11.

A. [0, 8]

B. [-12, 8]

C. [0, 12]

D. [8, 12]

12.

A. coinitial

B. free vector

C. zero vector

D. collinear

13. Which of the following represents coinitial vector?

A. c, d

B. m, b

C. b, d

D. Both (a) and (b)

14.

A. 30°

B. 45°

C. 60°

D. 90°

15.

A. ±1

B. ±5

C. ±3

D. ±2

16. If a + b + c = 0, then a × b =

A. c × a

B. b × c

C. 0

D. Both (a) and (b)

17.

A. (a)

B. (b)

C. (c)

D. (d)

18.

A. (A)

B. (B)

C. (C)

D. (D)

19. The points with position vectors (2. 6), (1, 2) and (a, 10) are collinear if the of a is

A. -8

B. 4

C. 3

D. 12

20.

A. (a)

B. (b)

C. (c)

D. (d)

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21. What is the additive identity of a vector?

A. zero vector

B. Negative of the vector

C. unit vector

D. The vector itself

22. If a, b, c are three non-coplanar vectors, then (a + b + c).[(a + b) × (a + c)] is

A. 0

B. 2[abc]

C. -[abc]

D. [abc]

23.

A. (A)

B. (B)

C. (C)

D. (D)

24. If u, v and w are three non-coplanar vectors, then (u + v – w).[(u – v) × (v – w)] equals

A. 0

B. u.v × w

C. u.w × v

D. 3u.v × w

25. If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be

A. 3b - 2a

B. 3a - b

C. 3a - 2b

D. 3b - a