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MDCAT Physics Vactors And Equilibrium Test Online

Mustansar KhanLast Updated: June 16, 2025

Physics Vactors And Equilibrium MCQS Online Test

MDCAT Physics Vactors And Equilibrium Chapter Online Test

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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Page 1 of 3

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1. Which mathematical operation gives a vector?

Addition of scalars

Cross product

Division

Scalar product

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

Sine

Cosine

Tangent

Secant

3. Which physical quantity is calculated using scalar product?

Magnetic force

Work

Torque

Angular momentum

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

Same direction, different magnitude

Perpendicular

Same magnitude and direction

Opposite direction

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

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

45°

0°

90°

180°

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

Rectangular components method

Parallelogram law

Polygon method

Triangle law

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

Scalar multiplication by –1

Multiplying by scalar 1

Adding zero vector

Taking dot product

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

Triangle law

Pythagorean theorem

Cosine law

Newton’s law

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

They are anti-parallel

They are parallel

They form an angle of 60°

They are perpendicular

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

Vector addition

Cosine law

Left-hand rule

Right-hand rule

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

A × B

A·B = AB cos θ

AB tan θ

AB sin θ

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

Zero

A + B

AB sin 0° = 0

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

A sin θ

A/cos θ

A tan θ

A cos θ

15. Which of these equations represents a zero resultant?

A – A

A + A

A + B

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

Work

Torque

Displacement

Power

17. Which is not a characteristic of scalar product?

Directional

Results in scalar

Commutative

Depends on cosine of angle

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

Dot product

Subtraction

Addition

Cross product

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

tan⁻¹(Ry/Rx)

cos⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

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

21. Which property holds true for vector product?

A × B = 0

A × B = A·B

A × B = –B × A

A × B = B × A

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

Newton-meter

Newton

Kilogram

Joule

23. What does the dot product represent geometrically?

Shadow/projection

Area

Perpendicular height

Volume

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

Positive maximum

Zero

Negative maximum

Undefined

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

Sine

Tangent

Cosine

Secant

Page 2 of 3

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

Vector addition

Right-hand rule

Left-hand rule

Cosine law

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

Multiplying by scalar 1

Scalar multiplication by –1

Taking dot product

Adding zero vector

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

29. Which one is NOT a vector?

Velocity

Force

Displacement

Work

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

Perpendicular

Opposite

Parallel

Random

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

Commutative

Non-commutative

Always zero

No direction involved

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

Same direction, different magnitude

Perpendicular

Opposite direction

Same magnitude and direction

33. Which is not a characteristic of scalar product?

Directional

Results in scalar

Depends on cosine of angle

Commutative

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

10 cos 30°

10 sin 30°

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

6k̂

î

–6k̂

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

Maximum

Equal to scalar product

Negative

Zero

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

Law of cosines

Law of sines

Ohm’s law

Pythagoras theorem

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

î

–î

ĵ

k̂

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

Pythagorean theorem

Cosine law

Newton’s law

Triangle law

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

Along one of the vectors

In the plane of the vectors

Opposite to both vectors

Perpendicular to both vectors

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

Opposite

Random

Parallel

Perpendicular

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

Equal

Perpendicular

Collinear

Parallel

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

sin⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

tan⁻¹(Rx/Ry)

44. Which of the following represents a unit vector?

î + 2ĵ

2î

(1/√2)î + (1/√2)ĵ

î + ĵ

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

One

Zero

Infinite

Maximum

46. Which property holds true for vector product?

A × B = B × A

A × B = –B × A

A × B = A·B

A × B = 0

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

6k̂

–6k̂

î

48. The cross product of î and ĵ is:

î

k̂

–k̂

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

45°

0°

180°

90°

50. Which of the following results in a scalar?

Displacement + displacement

Force × distance (same direction)

Velocity × time

Acceleration × velocity

Page 3 of 3

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

Infinite

Maximum

One

Zero

52. What is the unit of scalar product?

Newton-meter²

No unit

Newton

Joule

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

180°

45°

90°

0°

54. Which of the following represents a unit vector?

(1/√2)î + (1/√2)ĵ

î + 2ĵ

î + ĵ

2î

55. Which of the following best defines vector product?

A × B = AB cos θ

A × B = AB sin θ n̂

A·B = AB cos θ

A·B = AB sin θ

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

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

Newton

Newton-meter

Joule

Kilogram

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

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

AB sin 0° = 0

A + B

Zero

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

Vectors at 45°

Vectors at 180°

Vectors at 0°

Vectors at 90°

61. Which one is NOT a vector?

Displacement

Work

Velocity

Force

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

√25

√13

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

î

ĵ

64. Which of these equations represents a zero resultant?

A + A

A + B

A – A

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

It is equal to AB sin θ

It gives a vector as result

It is affected by the direction only

It results in a scalar quantity

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

Parallel

Equal

Collinear

Perpendicular

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

Cosine θ

Sine θ

Direction only

Tangent θ

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

0°

90°

180°

45°

69. What does the dot product represent geometrically?

Shadow/projection

Volume

Area

Perpendicular height

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

ĵ

k̂

î

–î

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

Sine θ

Direction only

Cosine θ

Tangent θ

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

Infinite

Unity

Zero

Maximum

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

90°

180°

0°

60°

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

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

Product of their magnitudes

Vector of same direction

Zero

A unit vector

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Mustansar KhanLast Updated: June 16, 2025

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MDCAT Physics Vactors And Equilibrium Test Online

Physics Vactors And Equilibrium MCQS Online Test

MDCAT Physics Vactors And Equilibrium Chapter Online Test

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Physics Vactors And Equilibrium MCQS Online Test

MDCAT Physics Vactors And Equilibrium Chapter Online Test

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