Introduction to Vector Algebra, Class 12 Mathematics MCQ’s

MCQ’s For All Chapters – Maths Class 12th

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying.

1. 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

Trapezium

Rectangle

Square

Parallelogram

Your comments:

Question 1 of 20

2. For what values of x and y, the vectors are equal?

A

B

C

D

Your comments:

Question 2 of 20

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

co-terminus vectors.

zero vectors

co-initial vectors

unit vectors

Your comments:

Question 3 of 20

4. If  ,the vectors a and b are ______ .

coinitial

free vector

zero vector

collinear

Your comments:

Question 4 of 20

5. If the magnitude of the position vector   is 7, the value of x is:

±1

±5

±3

±2

Your comments:

Question 5 of 20

6. If , then

A

B

C

D

Your comments:

Question 6 of 20

7. What is the additive identity of a vector?

zero vector

Negative of the vector

unit vector

The vector itself

Your comments:

Question 7 of 20

8. The angles α, β, γ made by the vector with the positive directions of X, Y and Z-axes respectively, then the direction cosines of the vector are:

A

B

C

D

Your comments:

Question 8 of 20

9. 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

3b - 2a

3a - b

3a - 2b

3b - a

Your comments:

Question 9 of 20

10. Vector of magnitude 1 is called.

Constant vector

Zero vector

Unit vector

None of these

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Question 10 of 20

11. If and , then the value of scalars x and y are:

x = 1 and y = -2

x = -2 and y = 1

x = 2 and y = -1

x = 2 and y = 1

Your comments:

Question 11 of 20

12. The direction of zero vector.

Is towards the origin

Is towards a fixed point

Does not exist

Is indeterminate

Your comments:

Question 12 of 20

13. The unit vector in the direction of , where A and B are the points (2, - 3, 7) and (1, 3, - 4) is:

A

B

C

D

Your comments:

Question 13 of 20

14. If a be magnitude of vector  then

a > 0

a ≤ 0

a ≥ 0

a < 0

Your comments:

Question 14 of 20

15. A vector of magnitude 14 units, which is parallel to the vector .

A

B

C

D

Your comments:

Question 15 of 20

16. For any two vectors a and b

|a - b| ≥ |a| - |b|

|a - b| = |a| - |b|

|a + b| ≤ |a - |b|

|a - b| = |a + b|

Your comments:

Question 16 of 20

17. Vectors that may be subject to its parallel displacement without changing its magnitude and direction are called _________.

Free vectors

Coinitial vectors

Collinear vectors.

Parallel vectors.

Your comments:

Question 17 of 20

18. A vector whose initial and terminal points coincide, is called

zero vector

unit vector

equal vectors

coterminus vectors

Your comments:

Question 18 of 20

19. A point from a vector starts is called ...... and where it ends is called its ......

terminal point, end point.

initial point, terminal point

Origin, end point

initial point, end point

Your comments:

Question 19 of 20

20. If are position vectors of the points (- 1, 1) and (m, - 2). then for what value of m, the vectors are collinear.

1

2

-1

-2

Your comments:

Question 20 of 20

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