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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. What is the scalar product of two perpendicular vectors?

Unity

Maximum

Zero

Infinite

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

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

√13

√25

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

Left-hand rule

Right-hand rule

Cosine law

Vector addition

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

A/cos θ

A sin θ

A tan θ

A cos θ

6. Which of the following represents a unit vector?

î + 2ĵ

(1/√2)î + (1/√2)ĵ

î + ĵ

2î

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

90°

180°

0°

60°

8. 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

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

Infinite

One

Maximum

Zero

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

45°

180°

90°

0°

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

î

–6k̂

6k̂

12. The cross product of î and ĵ is:

k̂

–k̂

î

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

Right-hand rule

Vector addition

Cosine law

Left-hand rule

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

Perpendicular

Same magnitude and direction

Same direction, different magnitude

Opposite direction

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

0°

45°

90°

180°

16. Which property holds true for vector product?

A × B = 0

A × B = B × A

A × B = A·B

A × B = –B × A

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

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

0°

180°

90°

45°

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

Equal

Collinear

Parallel

Perpendicular

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

AB sin θ

A·B = AB cos θ

AB tan θ

A × B

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

Same magnitude and direction

Opposite direction

Perpendicular

Same direction, different magnitude

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

180°

90°

45°

0°

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

Sine

Tangent

Cosine

Secant

24. Which of the following represents a unit vector?

2î

(1/√2)î + (1/√2)ĵ

î + 2ĵ

î + ĵ

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

Opposite

Random

Perpendicular

Parallel

Page 2 of 3

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

Cosine law

Pythagorean theorem

Triangle law

Newton’s law

27. What does the dot product represent geometrically?

Perpendicular height

Shadow/projection

Area

Volume

28. Which one is NOT a vector?

Displacement

Force

Velocity

Work

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

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

Law of sines

Law of cosines

Pythagoras theorem

Ohm’s law

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

They are perpendicular

They are parallel

They are anti-parallel

They form an angle of 60°

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

10 cos 30°

10 sin 30°

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

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

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

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

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

Kilogram

Newton-meter

Joule

Newton

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

Negative maximum

Zero

Positive maximum

Undefined

38. Which physical quantity is calculated using scalar product?

Angular momentum

Magnetic force

Torque

Work

39. Which is not a characteristic of scalar product?

Results in scalar

Commutative

Depends on cosine of angle

Directional

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

Newton

Newton-meter

Kilogram

Joule

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

A + B

AB sin 0° = 0

Zero

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

Cosine law

Triangle law

Newton’s law

Pythagorean theorem

43. Which property holds true for vector product?

A × B = A·B

A × B = B × A

A × B = 0

A × B = –B × A

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

AB sin 0° = 0

Zero

A + B

45. Which of the following results in a scalar?

Displacement + displacement

Acceleration × velocity

Force × distance (same direction)

Velocity × time

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

Product of their magnitudes

Zero

A unit vector

Vector of same direction

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

Perpendicular

Collinear

Parallel

Equal

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

Vectors at 0°

Vectors at 90°

Vectors at 45°

Vectors at 180°

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

k̂

–î

ĵ

î

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

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

Page 3 of 3

51. Which mathematical operation gives a vector?

Addition of scalars

Cross product

Scalar product

Division

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

In the plane of the vectors

Opposite to both vectors

Along one of the vectors

Perpendicular to both vectors

53. What does the dot product represent geometrically?

Perpendicular height

Volume

Shadow/projection

Area

54. 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

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

56. What is the unit of scalar product?

Newton

Joule

Newton-meter²

No unit

57. Which of these equations represents a zero resultant?

A – A

A + B

A + A

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

6k̂

–6k̂

î

59. 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

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

No direction involved

Always zero

Commutative

Non-commutative

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

Infinite

Maximum

Zero

One

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

î

ĵ

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

Maximum

Equal to scalar product

Negative

Zero

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

î

–î

k̂

ĵ

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

Taking dot product

Multiplying by scalar 1

Scalar multiplication by –1

Adding zero vector

66. Which of these equations represents a zero resultant?

A + B

A – A

A + A

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

Polygon method

Rectangular components method

Parallelogram law

Triangle law

68. Which of the following best defines vector product?

A × B = AB sin θ n̂

A × B = AB cos θ

A·B = AB sin θ

A·B = AB cos θ

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

Sine

Tangent

Cosine

Secant

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

Torque

Work

Displacement

Power

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

Opposite

Random

Perpendicular

Parallel

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

It is affected by the direction only

It results in a scalar quantity

It is equal to AB sin θ

It gives a vector as result

73. Which is not a characteristic of scalar product?

Depends on cosine of angle

Directional

Results in scalar

Commutative

74. Which one is NOT a vector?

Velocity

Displacement

Work

Force

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

Addition

Dot product

Subtraction

Cross product

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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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