Vector physics mcqs plays a central role in understanding motion, forces, and interactions in the physical world. Unlike scalar quantities, vector physics mcqs possess both magnitude and direction, making them essential for accurately describing displacement, velocity, acceleration, force, momentum, torque, and work. Because of this dual nature, vector-based questions often test deeper conceptual understanding along with mathematical precision.

These Vector Physics MCQs are designed to strengthen core skills such as vector addition and subtraction, resolution of vectors into components, unit vectors, dot and cross products, and interpretation of vector direction in three-dimensional space. Many problems also connect vector mathematics with physical applications like power calculation, work done by forces, equilibrium of forces, and resultant motion.

In competitive exams such as NEET, JEE, CUET, and state engineering entrances, vector physics MCQs are frequently used to assess analytical thinking. Students must carefully handle signs, angles, and directions, as even a small conceptual error can lead to an incorrect answer. Practising such vector physics mcqs problems improves spatial visualization and builds confidence in applying vector laws to real physics scenarios.

This curated set of vector physics multiple-choice questions helps learners bridge the gap between theory and application, making it an excellent resource for exam preparation and conceptual mastery.

Vector Physics MCQs (With Options & Answers)

1. In the given diagram, if PQ = A, QR = B and RS = C, then PS equals
   A. A − B + C
   B. A + B + C
   C. A + B − C
   D. −A − B − C
   Answer: C

2. Among the following, the vector quantity is
   A. Gravitational potential
   B. Stress
   C. Pressure
   D. Impulse
   Answer: D

3. A force (4i + j − 2k) N acting on a body maintains its velocity at (2i + 2j + 3k) m/s. The power exerted is
   A. 4 W
   B. 5 W
   C. 2 W
   D. 8 W
   Answer: A

4. If vectors A = 2i + 3j + 4k and B = i + 2j − nk are perpendicular, the value of n is
   A. 1
   B. 2
   C. 3
   D. 4
   Answer: B

5. A particle is displaced from (2i − j + k) to (3i + 2j − 2k) under force (2i + j − k). Work done is
   A. 8
   B. 10
   C. 12
   D. 16
   Answer: A

6. If vector A = 4i + 3j + 12k, the angle subtended with x-axis is
   A. sin⁻¹(1/13)
   B. sin⁻¹(3/13)
   C. cos⁻¹(3/13)
   D. cos⁻¹(4/13)
   Answer: D

7. Power utilised when force (2i + 3j + 4k) N produces displacement (3i + j + 5k) m in 4 s is
   A. 9.5 W
   B. 7.5 W
   C. 6.5 W
   D. 4.5 W
   Answer: A

8. A = 4i + 3j, B = 4i + 2j. A vector parallel to A and five times magnitude of B is
   A. 20(2i + 3j)
   B. 20(4i + 3j)
   C. 20(2i + j)
   D. 10(2i + j)
   Answer: B

9. If A + B = R and A² + B² = R², the angle between A and B is
   A. 0
   B. π/4
   C. π/2
   D. π
   Answer: C

10. If P = 2i − 3j + 4k and Q = −j − 2k, magnitude of resultant is
    A. 3
    B. √25
    C. √33
    D. √45
    Answer: B

11. Direction of A × B, where A is vertical upward and B is northward, is
    A. West
    B. East
    C. 45° upward north
    D. Vertically downward
     Answer: A

12. If r₁ = 2x̂ and r₂ = 2ŷ, then |r₁ + r₂| is
    A. 2√2
    B. 2√3
    C. 3√2
    D. √3
    Answer: A

13. x and y components of A are 7 and 6. Components of A + B are 11 and 9. |B| equals
    A. 10
    B. 5
    C. 6
    D. 3
    Answer: B

14. Two forces of 2 N inclined at 60° have resultant
    A. 2 N
    B. 2√5 N
    C. 2√3 N
    D. 4√2 N
    Answer: C

15. Two vectors of magnitudes 3 and 5 with angle 60° have dot product
    A. 6.5
    B. 6
    C. 7.5
    D. 7.9
    Answer: A

16. Work done by force (2i + 3j − 5k) causing displacement (2i + 4j + 3k) is
    A. 1
    B. 5
    C. 10
    D. 20
    Answer: A

17. Minimum additional force along OX to make resultant along y-axis is
    A. 0.5 N
    B. 1.5 N
    C. 3 N
    D. 13 N
    Answer: C

18. Vector F = 10 units at 30° to +x and B = 20 units at 30° to −x. Resultant magnitude is
    A. 10
    B. 20
    C. √3
    D. √33
     Answer: D

19. Vector C has same magnitude as B and same direction as A. Correct option is
    A. (2/1)(7i + 2j + 2k)
    B. (2/3)(i − 2j + 2k)
    C. (6/7)(i + 2j + 2k)
    D. (7/9)(i + 2j + 2k)
    Answer: A

20. A particle moves from (2,10,1) with displacement 8i − 2j + k. Final position is
    A. (10, 8, 2)
    B. (8, 10, 2)
    C. (10, 8, 0)
    D. (8, 12, 10)
    Answer: A

21. Two equal forces act northward simultaneously. The body will
    A. Move east
    B. Move northeast
    C. Remain at rest
    D. None
     Answer: C

22. Two vectors of equal magnitude x at 45° have resultant
    A. 0
    B. x
    C. √2x
    D. 2√2x
    Answer: B

23. If P = ai + aj + 3k and Q = −ai − 2j − k are perpendicular, a equals
    A. 0
    B. 1
    C. 2
    D. 3
    Answer: D

24. Two equal vectors have resultant equal to either. Angle between them is
    A. 110°
    B. 120°
    C. 60°
    D. 150°
    Answer: B

25. Angle between P + Q and P − Q is
    A. 90° only
    B. Between 0° and 180°
    C. 180° only
    D. None
    Answer: B

26. Displacement vector from A(0,3,−1) to B(−2,6,4) is
    A. −2i + 6j + 4k
    B. −2i + 3j + 3k
    C. −2i + 3j + 5k
    D. 2i − 3j − 5k
    Answer: C

27. If a + b = c and |a| + |b| = |c|, angle between a and b is
    A. 90°
    B. 180°
    C. 120°
    D. 0°
    Answer: D

28. If C · (A × B) is evaluated for given vectors, value is
    A. 1
    B. 0
    C. 3√2
    D. 18√5
    Answer: B

29. If |A| = 5, |B| = 4, |C| = 3 and A + B + C = 0, angle between A and C is
    A. cos⁻¹(3/5)
    B. cos⁻¹(5/4)
    C. 2π
    D. sin⁻¹(4/3)
    Answer: A

30. If |A| = 3, |B| = 4, |C| = 5 and A + B = C, angle between A and B is
    A. π/2
    B. cos⁻¹(0.6)
    C. tan⁻¹(7/5)
    D. π/4
    Answer: A 

Conclusion

Mastering vector physics mcqs is crucial for solving higher-level mechanics problems accurately and efficiently. These vector physics MCQs help students connect mathematical operations like dot and cross products with physical concepts such as work, power, and force. Regular practice of vector physics mcqs builds confidence in handling multi-dimensional problems and interpreting vector directions correctly. Such questions on vector physics mcqs also sharpen analytical thinking, which is essential for competitive exams. Consistent revision of vector physics mcqs based problems lays a strong foundation for advanced topics in mechanics and electromagnetism.