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

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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: October 7, 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. 
Unit vector in the direction of $\vec{A} = \hat{i}+2\hat{j}+3\hat{k}$ is

3. 
Angular momentum is

4. 
How many minimum number of non-coplanar vectors having different magnitudes can be added to give zero resultant

5. 
Which of the following is a vector

6. 
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be

7. 
If a vector get multiplied by a negative number then its direction

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

9. 
Which is a vector quantity in pressure and force

10. 
Which of the following is a scalar quantity

11. 
Which of the following physics quantity is a scalar?

12. 
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.

13. 
The angle made by the vector $A=\hat{i}+\hat{j}$ with x- axis is

14. 
Electric current is a

15. 
If $\vec{A}=\vec{B}$ then which of the following is NOT correct

16. 
The expression $ \left( \frac{1}{\surd{2}}\hat{i}+\frac{1}{\surd{2}}\hat{j} \right) $ is a

17. 
The physical quantity which is scalar, is

18. 
............is polar vector

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

20. 
Surface area is

21. 
Moment of inertia is

22. 
If vector $0.8\hat{i}+0.6\hat{j}+c\hat{k}$ is a unit vector then the value of c is

23. 
How many minimum number of colinear vectors having different magnitudes can be added to give zero resultant

24. 
Which of the following physical quantites is neither Scalars nor Vectors

25. 
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.

26. 
How many minimum number of coplanar vectors having different magnitudes can be added to give zero resultant

27. 
Which of the following pairs is/are matched

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

28. 
Which of the following is/are not vector

29. 
The vector projection of a vector $3\hat{i}+4\hat{k}$ on y-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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