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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 two vectors are parallel, their vector product is:

Equal to scalar product

Negative

Maximum

Zero

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

î

6k̂

–6k̂

3. Which is not a characteristic of scalar product?

Commutative

Directional

Results in scalar

Depends on cosine of angle

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

Dot product

Cross product

Addition

Subtraction

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

Vectors at 45°

Vectors at 180°

Vectors at 0°

Vectors at 90°

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

Triangle law

Newton’s law

Pythagorean theorem

Cosine law

7. Which mathematical operation gives a vector?

Cross product

Division

Scalar product

Addition of scalars

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

î

k̂

ĵ

–î

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

A tan θ

A sin θ

A cos θ

A/cos θ

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

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

45°

90°

180°

0°

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

√13

√25

13. 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

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

Zero

A + B

AB sin 0° = 0

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

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

Parallel

Opposite

Random

Perpendicular

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

10 sin 30°

10 cos 30°

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

Infinite

Zero

One

Maximum

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

0°

180°

90°

60°

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

Multiplying by scalar 1

Taking dot product

Adding zero vector

Scalar multiplication by –1

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

A unit vector

Product of their magnitudes

Vector of same direction

Zero

22. What does the dot product represent geometrically?

Area

Perpendicular height

Volume

Shadow/projection

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

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

tan⁻¹(Rx/Ry)

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

Perpendicular to both vectors

Along one of the vectors

Opposite to both vectors

In the plane of the vectors

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

Right-hand rule

Vector addition

Left-hand rule

Cosine law

Page 2 of 3

26. Which of the following represents a unit vector?

2î

î + 2ĵ

(1/√2)î + (1/√2)ĵ

î + ĵ

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

90°

45°

0°

180°

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

Right-hand rule

Cosine law

Left-hand rule

Vector addition

29. Which of these equations represents a zero resultant?

A – A

A + A

A + B

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

Opposite

Parallel

Perpendicular

Random

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

Tangent

Cosine

Sine

Secant

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

90°

45°

180°

0°

33. 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

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

Rectangular components method

Triangle law

Parallelogram law

Polygon method

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

Zero

Undefined

Negative maximum

Positive maximum

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

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

Maximum

One

Zero

Infinite

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

Torque

Displacement

Power

Work

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

cos⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

40. Which of the following results in a scalar?

Displacement + displacement

Force × distance (same direction)

Velocity × time

Acceleration × velocity

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

Collinear

Parallel

Perpendicular

Equal

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

Always zero

Commutative

Non-commutative

No direction involved

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

Ohm’s law

Pythagoras theorem

Law of sines

Law of cosines

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

Secant

Sine

Tangent

Cosine

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

–6k̂

6k̂

î

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

Perpendicular

Opposite direction

Same direction, different magnitude

Same magnitude and direction

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

ĵ

k̂

–î

î

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

A·B = AB cos θ

A × B

AB sin θ

AB tan θ

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

Newton

Joule

Kilogram

Newton-meter

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

Page 3 of 3

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

0°

90°

45°

180°

52. What is the unit of scalar product?

No unit

Joule

Newton-meter²

Newton

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

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

They are anti-parallel

They are parallel

They are perpendicular

They form an angle of 60°

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

Kilogram

Newton-meter

Newton

Joule

56. Which one is NOT a vector?

Velocity

Work

Displacement

Force

57. The cross product of î and ĵ is:

k̂

î

–k̂

58. What does the dot product represent geometrically?

Volume

Perpendicular height

Shadow/projection

Area

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

Pythagorean theorem

Cosine law

Triangle law

Newton’s law

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

Infinite

Maximum

Zero

Unity

61. Which physical quantity is calculated using scalar product?

Work

Magnetic force

Angular momentum

Torque

62. Which is not a characteristic of scalar product?

Depends on cosine of angle

Commutative

Results in scalar

Directional

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

î

ĵ

64. Which property holds true for vector product?

A × B = –B × A

A × B = 0

A × B = B × A

A × B = A·B

65. Which one is NOT a vector?

Velocity

Work

Force

Displacement

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

Same direction, different magnitude

Same magnitude and direction

Perpendicular

Opposite direction

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

Direction only

Sine θ

Cosine θ

Tangent θ

68. Which property holds true for vector product?

A × B = –B × A

A × B = A·B

A × B = 0

A × B = B × A

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

Collinear

Parallel

Perpendicular

Equal

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

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

Scalar multiplication by –1

Multiplying by scalar 1

Taking dot product

Adding zero vector

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

AB sin 0° = 0

Zero

A + B

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

Sine θ

Tangent θ

Cosine θ

Direction only

74. Which of these equations represents a zero resultant?

A + A

A – A

A + B

75. Which of the following represents a unit vector?

2î

î + ĵ

(1/√2)î + (1/√2)ĵ

î + 2ĵ

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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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