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Physics Vactors And Equilibrium Online Mcqs Test

Malik TahirLast Updated: October 13, 2025

Important Vactors And Equilibrium Question and Answer

Total Questions:	75
Time Allowed:	35 Minutes
Total Marks:	75
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	Physics Test ECAT Test MDCAT Test FPSC/PPSC/SPSC/KPPSC/BPSC/AJKPSC/NTS Physics Interview Question Answer

Physics Vactors And Equilibrium Practice Test Online With Explanation

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Page 1 of 3

1. If A and B are vectors, and θ is the angle between them, then scalar product depends on:

Sine θ

Direction only

Tangent θ

Cosine θ

2. If |A| = 5, |B| = 3, and the angle between them is 90°, what is |A × B|?

3. If |A| = 5, |B| = 3, and the angle between them is 90°, what is |A × B|?

4. If A = 4î + 3ĵ and B = 2î + ĵ, then A·B equals:

5. Which of the following is a correct unit for vector product result?

Newton-meter

Joule

Kilogram

Newton

6. Which of the following quantities is a result of a cross product?

Power

Torque

Work

Displacement

7. Which of the following is true about scalar product?

It results in a scalar quantity

It is affected by the direction only

It is equal to AB sin θ

It gives a vector as result

8. Which property holds true for vector product?

A × B = –B × A

A × B = B × A

A × B = A·B

A × B = 0

9. The cross product of î and ĵ is:

î

–k̂

k̂

10. What is the angle between two vectors if their scalar product is zero?

0°

90°

60°

180°

11. If two vectors are parallel, their vector product is:

Equal to scalar product

Zero

Maximum

Negative

12. Which of the following is a correct unit for vector product result?

Newton

Kilogram

Newton-meter

Joule

13. What does the dot product represent geometrically?

Area

Perpendicular height

Shadow/projection

Volume

14. What does the dot product represent geometrically?

Perpendicular height

Shadow/projection

Volume

Area

15. Which property holds true for vector product?

A × B = B × A

A × B = –B × A

A × B = A·B

A × B = 0

16. Which of the following represents a unit vector?

2î

(1/√2)î + (1/√2)ĵ

î + ĵ

î + 2ĵ

17. Which of the following pairs of vectors are anti-parallel?

Opposite direction

Same direction, different magnitude

Perpendicular

Same magnitude and direction

18. In equilibrium, the resultant of all vectors acting on a body is:

Infinite

Zero

One

Maximum

19. If vector A = 6î + 8ĵ, what is its magnitude?

20. Which of the following gives the direction (angle) of the resultant vector?

tan⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

cos⁻¹(Rx/Ry)

21. What is the scalar product of two perpendicular vectors?

Infinite

Unity

Zero

Maximum

22. When θ = 0°, what is the result of vector product A × B?

Zero

A + B

AB sin 0° = 0

23. Which one is NOT a vector?

Force

Work

Displacement

Velocity

24. Which mathematical operation gives a vector?

Cross product

Division

Scalar product

Addition of scalars

25. What is the vector product of two vectors of equal magnitude and 90° angle?

Vector of same direction

Zero

A unit vector

Product of their magnitudes

Page 2 of 3

26. The angle between A = î and B = ĵ is:

45°

90°

180°

0°

27. The angle between A = î and B = ĵ is:

45°

0°

180°

90°

28. The angle between A and B is 180°. What is A·B?

Positive maximum

Negative maximum

Zero

Undefined

29. Which law is used in the rectangular component method?

Pythagoras theorem

Law of sines

Law of cosines

Ohm’s law

30. Work done is maximum when the force and displacement are:

Perpendicular

Opposite

Random

Parallel

31. Which of the following results in a scalar?

Velocity × time

Acceleration × velocity

Force × distance (same direction)

Displacement + displacement

32. If two non-zero vectors have a zero scalar product, they are:

Parallel

Equal

Perpendicular

Collinear

33. If A = 4î + 3ĵ and B = 2î + ĵ, then A·B equals:

34. In rectangular components, the resultant R = √(Rx² + Ry²) is based on:

Pythagorean theorem

Triangle law

Newton’s law

Cosine law

35. If A and B are vectors, and θ is the angle between them, then scalar product depends on:

Cosine θ

Direction only

Tangent θ

Sine θ

36. What is the unit of scalar product?

Joule

Newton-meter²

No unit

Newton

37. Which one is NOT a vector?

Work

Velocity

Force

Displacement

38. When θ = 0°, what is the result of vector product A × B?

A + B

Zero

AB sin 0° = 0

39. Which of the following gives the direction (angle) of the resultant vector?

tan⁻¹(Ry/Rx)

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

40. In terms of unit vectors, î × î =

ĵ

î

41. Which of the following is a method to add two vectors using their components?

Triangle law

Rectangular components method

Parallelogram law

Polygon method

42. Which of the following is true for dot product?

Non-commutative

No direction involved

Always zero

Commutative

43. Which of the following determines direction of vector product?

Cosine law

Right-hand rule

Vector addition

Left-hand rule

44. Which is not a characteristic of scalar product?

Commutative

Directional

Depends on cosine of angle

Results in scalar

45. Which is not a characteristic of scalar product?

Directional

Results in scalar

Commutative

Depends on cosine of angle

46. Which of the following operations can change the direction of a vector?

Adding zero vector

Multiplying by scalar 1

Taking dot product

Scalar multiplication by –1

47. What is the direction of the vector product of two vectors?

Along one of the vectors

In the plane of the vectors

Perpendicular to both vectors

Opposite to both vectors

48. Which of the following vectors is perpendicular to both î and ĵ?

î

k̂

–î

ĵ

49. Which of the following pairs of vectors are anti-parallel?

Perpendicular

Same direction, different magnitude

Same magnitude and direction

Opposite direction

50. Which of the following determines direction of vector product?

Vector addition

Cosine law

Left-hand rule

Right-hand rule

Page 3 of 3

51. In rectangular components, the resultant R = √(Rx² + Ry²) is based on:

Cosine law

Newton’s law

Triangle law

Pythagorean theorem

52. If A = 2î and B = 3ĵ, what is A × B?

6k̂

–6k̂

î

53. If vector A = 6î + 8ĵ, what is its magnitude?

54. The dot product of two vectors is maximum when:

They are parallel

They are perpendicular

They are anti-parallel

They form an angle of 60°

55. Which of the following combinations results in maximum scalar product?

Vectors at 0°

Vectors at 180°

Vectors at 45°

Vectors at 90°

56. If two non-zero vectors have a zero scalar product, they are:

Parallel

Collinear

Equal

Perpendicular

57. Work done is maximum when the force and displacement are:

Random

Opposite

Parallel

Perpendicular

58. Which of these equations represents a zero resultant?

A + A

A – A

A + B

59. What is the x-component of a vector of magnitude 10 units making 30° with the x-axis?

10 sin 30°

10 cos 30°

60. Which of the following represents a unit vector?

2î

î + ĵ

î + 2ĵ

(1/√2)î + (1/√2)ĵ

61. In rectangular component method, y-component of vector A is:

A cos θ

A/cos θ

A sin θ

A tan θ

62. Which of the following vectors is perpendicular to both î and ĵ?

î

k̂

ĵ

–î

63. Which trigonometric function appears in the formula for the scalar product?

Secant

Sine

Tangent

Cosine

64. The scalar product of two unit vectors is maximum when the angle between them is:

180°

45°

0°

90°

65. Which vector operation is used in finding magnetic force?

Subtraction

Cross product

Dot product

Addition

66. Which of the following best defines vector product?

A × B = AB sin θ n̂

A·B = AB sin θ

A × B = AB cos θ

A·B = AB cos θ

67. Which trigonometric function appears in the formula for the scalar product?

Secant

Cosine

Tangent

Sine

68. Which of the following operations can change the direction of a vector?

Multiplying by scalar 1

Scalar multiplication by –1

Adding zero vector

Taking dot product

69. In equilibrium, the resultant of all vectors acting on a body is:

Infinite

One

Maximum

Zero

70. Which of these equations represents a zero resultant?

A + A

A – A

A + B

71. Which of the following is a correct expression for scalar product?

A × B

AB sin θ

AB tan θ

A·B = AB cos θ

72. Which physical quantity is calculated using scalar product?

Magnetic force

Angular momentum

Torque

Work

73. If vector A = 3i + 4j, its magnitude is:

√25

√13

74. The scalar product of two unit vectors is maximum when the angle between them is:

45°

180°

0°

90°

75. If A = 2î and B = 3ĵ, what is A × B?

6k̂

–6k̂

î

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Malik TahirLast Updated: October 13, 2025

Physics Vactors And Equilibrium Online Mcqs Test

Important Vactors And Equilibrium Question and Answer

Physics Vactors And Equilibrium Practice Test Online With Explanation

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