[Free Practice Test] 25+ Most Important PYQs on Vector Fundamentals with Solution

Most Important PYQs on Vector Fundamentals
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Boost your exam preparation with this comprehensive practice test series! Explore 25+ essential previous-year questions on vector fundamentals, complete with easy-to-follow solutions. Ideal for TGT, PGT, IIT JEE, NEET, and other competitive exams.

Most Important PYQs on Vector Fundamentals with Solution

No. of Questions: 30   Date: January 22, 2026

1. 
Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be

2. 
Angular momentum is

3. 
Which of the following is a scalar quantity

4. 
If vector $0.8\hat{i}+0.6\hat{j}+c\hat{k}$ is a unit vector then the value of c is

5. 
If $\vec{A}=\vec{B}$ then which of the following is NOT correct

6. 
Surface area is

7. 
............is polar vector

8. 
The unit vector along $\hat{i}+\hat{j}$ is

9. 
Electric current is a

10. 
Which of the following pairs is/are matched

  1. mass - scalar
  2. weight - vector 
  3. potential - vector
  4. flux - scalar

11. 
Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Two vectors are said to be like vectors if they have same direction but different magnitude.
Reason : Vector quantities do not have specific direction.

12. 
Which of the following physical quantites is neither Scalars nor Vectors

13. 
How many minimum number of colinear vectors having different magnitudes can be added to give zero resultant

14. 
How many minimum number of coplanar vectors having different magnitudes can be added to give zero resultant

15. 
The vector projection of a vector $3\hat{i}+4\hat{k}$ on y-axis is

16. 
Which of the following is a vector

17. 
Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : A physical quantity cannot be called as a vector if
its magnitude is zero.
Reason : A vector has both, magnitude and direction.

18. 
Unit vector in the direction of $\vec{A} = \hat{i}+2\hat{j}+3\hat{k}$ is

19. 
Position of a particle in a rectangular co-ordinate system is (3, 2, 5). Then its position vector will be

20. 
The expression $ \left( \frac{1}{\surd{2}}\hat{i}+\frac{1}{\surd{2}}\hat{j} \right) $ is a

21. 
Moment of inertia is

22. 
How many minimum number of non-coplanar vectors having different magnitudes can be added to give zero resultant

23. 
If a vector get multiplied by a negative number then its direction

24. 
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be

25. 
Which of the following is/are not vector

26. 
Which of the following physics quantity is a scalar?

27. 
The physical quantity which is scalar, is

28. 
Which is a vector quantity in pressure and force

29. 
The angle made by the vector $A=\hat{i}+\hat{j}$ with x- axis is

30. 
Read the following statements and choose the correct answer on the basis of codes given below

Assertion (A) : An electric current is scalar.
Reason (R) : It does not obey the laws of vector addition.

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