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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.
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Physics Vactors And Equilibrium Practice Test Online With Explanation

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Page 1 of 3

1. What is the unit of scalar product?

Newton

Newton-meter²

Joule

No unit

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

Perpendicular

Opposite

Random

Parallel

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

Sine

Tangent

Cosine

Secant

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

A sin θ

A tan θ

A cos θ

A/cos θ

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

Law of cosines

Law of sines

Ohm’s law

Pythagoras theorem

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

Tangent θ

Direction only

Sine θ

Cosine θ

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

Vectors at 90°

Vectors at 45°

Vectors at 0°

Vectors at 180°

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

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

Cosine law

Pythagorean theorem

Newton’s law

Triangle law

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

Cosine

Tangent

Sine

Secant

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

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

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

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

14. Which one is NOT a vector?

Force

Displacement

Work

Velocity

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

AB sin 0° = 0

A + B

Zero

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

45°

90°

0°

180°

17. Which of these equations represents a zero resultant?

A + A

A – A

A + B

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

Zero

Vector of same direction

A unit vector

Product of their magnitudes

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

20. Which one is NOT a vector?

Velocity

Displacement

Force

Work

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

Cross product

Dot product

Subtraction

Addition

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

Adding zero vector

Multiplying by scalar 1

Scalar multiplication by –1

Taking dot product

23. Which of the following represents a unit vector?

î + ĵ

î + 2ĵ

(1/√2)î + (1/√2)ĵ

2î

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

Cosine θ

Sine θ

Tangent θ

Direction only

25. Which physical quantity is calculated using scalar product?

Torque

Angular momentum

Magnetic force

Work

Page 2 of 3

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

Same magnitude and direction

Perpendicular

Same direction, different magnitude

Opposite direction

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

Perpendicular

Parallel

Collinear

Equal

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

–î

ĵ

k̂

î

29. The cross product of î and ĵ is:

k̂

–k̂

î

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

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

Adding zero vector

Scalar multiplication by –1

Taking dot product

Multiplying by scalar 1

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

Undefined

Zero

Negative maximum

Positive maximum

33. What does the dot product represent geometrically?

Perpendicular height

Volume

Area

Shadow/projection

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

√25

√13

35. Which of the following represents a unit vector?

î + 2ĵ

2î

(1/√2)î + (1/√2)ĵ

î + ĵ

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

Infinite

Maximum

Zero

Unity

37. What does the dot product represent geometrically?

Perpendicular height

Area

Volume

Shadow/projection

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

0°

90°

45°

180°

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

180°

0°

90°

45°

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

Newton-meter

Joule

Newton

Kilogram

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

Joule

Newton

Newton-meter

Kilogram

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

Rectangular components method

Polygon method

Parallelogram law

Triangle law

43. Which is not a characteristic of scalar product?

Results in scalar

Directional

Depends on cosine of angle

Commutative

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

Along one of the vectors

Perpendicular to both vectors

Opposite to both vectors

In the plane of the vectors

45. Which of the following best defines vector product?

A·B = AB sin θ

A × B = AB cos θ

A × B = AB sin θ n̂

A·B = AB cos θ

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

Right-hand rule

Left-hand rule

Cosine law

Vector addition

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

Perpendicular

Parallel

Collinear

Equal

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

Maximum

Zero

Infinite

One

49. Which of these equations represents a zero resultant?

A – A

A + A

A + B

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

60°

180°

0°

90°

Page 3 of 3

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

–6k̂

6k̂

î

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

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

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

Triangle law

Newton’s law

Cosine law

Pythagorean theorem

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

Perpendicular

Random

Parallel

Opposite

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

Torque

Work

Power

Displacement

56. Which property holds true for vector product?

A × B = –B × A

A × B = 0

A × B = A·B

A × B = B × A

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

45°

0°

90°

180°

58. Which of the following results in a scalar?

Force × distance (same direction)

Acceleration × velocity

Displacement + displacement

Velocity × time

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

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

A × B

AB sin θ

AB tan θ

A·B = AB cos θ

61. Which property holds true for vector product?

A × B = –B × A

A × B = B × A

A × B = 0

A × B = A·B

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

Perpendicular

Same direction, different magnitude

Same magnitude and direction

Opposite direction

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

Infinite

Zero

One

Maximum

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

î

6k̂

–6k̂

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

Left-hand rule

Cosine law

Right-hand rule

Vector addition

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

It is equal to AB sin θ

It is affected by the direction only

It results in a scalar quantity

It gives a vector as result

67. Which is not a characteristic of scalar product?

Directional

Results in scalar

Commutative

Depends on cosine of angle

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

î

ĵ

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

10 cos 30°

10 sin 30°

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

A + B

AB sin 0° = 0

Zero

71. Which mathematical operation gives a vector?

Scalar product

Addition of scalars

Division

Cross product

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

Non-commutative

Always zero

No direction involved

Commutative

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

They are anti-parallel

They form an angle of 60°

They are parallel

They are perpendicular

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

–î

î

k̂

ĵ

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

Equal to scalar product

Zero

Maximum

Negative

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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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