[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: August 7, 2025

1. 
Surface area is

2. 
Electric current is a

3. 
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.

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

5. 
The vector projection of a vector $3\hat{i}+4\hat{k}$ on y-axis is

6. 
The unit vector along $\hat{i}+\hat{j}$ is

7. 
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be

8. 
Which of the following physical quantites is neither Scalars nor Vectors

9. 
The expression $ \left( \frac{1}{\surd{2}}\hat{i}+\frac{1}{\surd{2}}\hat{j} \right) $ is a

10. 
Which is a vector quantity in pressure and force

11. 
Which of the following is/are not vector

12. 
Which of the following is a vector

13. 
Which of the following physics quantity is a scalar?

14. 
The angle made by the vector $A=\hat{i}+\hat{j}$ with x- axis is

15. 
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

16. 
............is polar vector

17. 
If vector $0.8\hat{i}+0.6\hat{j}+c\hat{k}$ is a unit vector then the value of c is

18. 
How many minimum number of colinear vectors having different magnitudes can be added to give zero resultant

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

20. 
How many minimum number of non-coplanar vectors having different magnitudes can be added to give zero resultant

21. 
Angular momentum is

22. 
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.

23. 
If $\vec{A}=\vec{B}$ then which of the following is NOT correct

24. 
Moment of inertia is

25. 
If a vector get multiplied by a negative number then its direction

26. 
Which of the following pairs is/are matched

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

27. 
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.

28. 
Unit vector in the direction of $\vec{A} = \hat{i}+2\hat{j}+3\hat{k}$ is

29. 
The physical quantity which is scalar, is

30. 
Which of the following is a scalar quantity

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