[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: February 18, 2026

1. 
Which of the following physics quantity is a scalar?

2. 
If vector $0.8\hat{i}+0.6\hat{j}+c\hat{k}$ is a unit vector then the value of c is

3. 
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.

4. 
Which of the following physical quantites is neither Scalars nor Vectors

5. 
If a vector get multiplied by a negative number then its direction

6. 
The angle made by the vector $A=\hat{i}+\hat{j}$ with x- axis is

7. 
Which of the following pairs is/are matched

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

8. 
The expression $ \left( \frac{1}{\surd{2}}\hat{i}+\frac{1}{\surd{2}}\hat{j} \right) $ is a

9. 
How many minimum number of colinear vectors having different magnitudes can be added to give zero resultant

10. 
............is polar vector

11. 
Electric current is a

12. 
Unit vector in the direction of $\vec{A} = \hat{i}+2\hat{j}+3\hat{k}$ is

13. 
The unit vector along $\hat{i}+\hat{j}$ is

14. 
How many minimum number of non-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. 
Moment of inertia is

17. 
Which is a vector quantity in pressure and force

18. 
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

19. 
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.

20. 
Which of the following is/are not vector

21. 
How many minimum number of coplanar vectors having different magnitudes can be added to give zero resultant

22. 
Position of a particle in a rectangular co-ordinate system is (3, 2, 5). Then its position vector will be

23. 
Which of the following is a vector

24. 
Angular momentum is

25. 
The physical quantity which is scalar, is

26. 
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.

27. 
Surface area is

28. 
Which of the following is a scalar quantity

29. 
If $\vec{A}=\vec{B}$ then which of the following is NOT correct

30. 
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be

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