[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 19, 2025

1. 
The vector projection of a vector $3\hat{i}+4\hat{k}$ on y-axis is

2. 
Which is a vector quantity in pressure and force

3. 
The unit vector along $\hat{i}+\hat{j}$ is

4. 
Unit vector in the direction of $\vec{A} = \hat{i}+2\hat{j}+3\hat{k}$ is

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

6. 
............is polar vector

7. 
Surface area is

8. 
Which of the following is a scalar quantity

9. 
The angle made by the vector $A=\hat{i}+\hat{j}$ with x- axis is

10. 
Moment of inertia is

11. 
Which of the following is/are not vector

12. 
Which of the following is a vector

13. 
If a vector get multiplied by a negative number then its direction

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

15. 
If vector $0.8\hat{i}+0.6\hat{j}+c\hat{k}$ is a unit vector then the value of c is

16. 
Angular momentum is

17. 
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be

18. 
Which of the following physical quantites is neither Scalars nor Vectors

19. 
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.

20. 
Electric current is a

21. 
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.

22. 
The expression $ \left( \frac{1}{\surd{2}}\hat{i}+\frac{1}{\surd{2}}\hat{j} \right) $ is a

23. 
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.

24. 
If $\vec{A}=\vec{B}$ then which of the following is NOT correct

25. 
Which of the following physics quantity is a scalar?

26. 
The physical quantity which is scalar, is

27. 
How many minimum number of coplanar vectors having different magnitudes can be added to give zero resultant

28. 
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

29. 
Which of the following pairs is/are matched

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

30. 
How many minimum number of non-coplanar vectors having different magnitudes can be added to give zero resultant

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