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MDCAT Physics Vactors And Equilibrium Online Test

Physics Vectors and Equilibrium Sample Paper Questions with Answer

Malik TahirLast Updated: July 12, 2025

Physics Vectors And Equilibrium MCQS Online Test

Boost your MDCAT Physics preparation with this focused online MCQ test on Vectors and Equilibrium. This quiz covers important concepts like vector addition, resolution, equilibrium conditions, and torque, following the latest MDCAT 2025 syllabus to help you master the chapter.

MDCAT 2025 Vactors And Equilibrium 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.
Test Helpful For:	MDCAT Entry Test Physics Online Test Interview Questions about Physics All Universities Entrance Test Recruitments Tests

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Page 1 of 3

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

Opposite direction

Same magnitude and direction

Perpendicular

Same direction, different magnitude

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

A·B = AB cos θ

A × B

AB sin θ

AB tan θ

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

Tangent

Sine

Secant

Cosine

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

Newton’s law

Triangle law

Pythagorean theorem

Cosine law

5. Which of these equations represents a zero resultant?

A – A

A + A

A + B

6. 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)

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

Perpendicular to both vectors

Opposite to both vectors

Along one of the vectors

In the plane of the vectors

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

90°

180°

60°

0°

9. Which one is NOT a vector?

Work

Displacement

Velocity

Force

10. Which of the following best defines vector product?

A × B = AB cos θ

A·B = AB cos θ

A·B = AB sin θ

A × B = AB sin θ n̂

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

Secant

Tangent

Cosine

Sine

12. 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

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

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

Newton

Joule

Newton-meter

Kilogram

15. 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

16. 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

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

A/cos θ

A sin θ

A cos θ

A tan θ

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

Parallel

Random

Opposite

Perpendicular

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

Zero

Positive maximum

Undefined

Negative maximum

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

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

Scalar multiplication by –1

Taking dot product

Multiplying by scalar 1

Adding zero vector

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

î

–6k̂

6k̂

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

A + B

AB sin 0° = 0

Zero

24. Which of the following represents a unit vector?

2î

î + 2ĵ

î + ĵ

(1/√2)î + (1/√2)ĵ

25. Which one is NOT a vector?

Force

Work

Velocity

Displacement

Page 2 of 3

26. Which is not a characteristic of scalar product?

Directional

Results in scalar

Depends on cosine of angle

Commutative

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

0°

90°

45°

180°

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

–î

k̂

î

ĵ

29. What does the dot product represent geometrically?

Volume

Shadow/projection

Perpendicular height

Area

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

Commutative

Always zero

Non-commutative

No direction involved

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

32. Which property holds true for vector product?

A × B = 0

A × B = A·B

A × B = B × A

A × B = –B × A

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

Parallel

Perpendicular

Random

Opposite

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

Cross product

Subtraction

Addition

Dot product

35. Which is not a characteristic of scalar product?

Directional

Commutative

Depends on cosine of angle

Results in scalar

36. What is the unit of scalar product?

Joule

Newton-meter²

Newton

No unit

37. Which mathematical operation gives a vector?

Cross product

Addition of scalars

Division

Scalar product

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

Perpendicular

Same direction, different magnitude

Same magnitude and direction

Opposite direction

39. 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)

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

–6k̂

6k̂

î

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

Parallelogram law

Triangle law

Rectangular components method

Polygon method

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

Pythagoras theorem

Law of sines

Law of cosines

Ohm’s law

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

Zero

AB sin 0° = 0

A + B

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

A unit vector

Zero

Product of their magnitudes

Vector of same direction

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

Maximum

One

Zero

Infinite

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

√13

√25

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

0°

90°

45°

180°

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

Right-hand rule

Vector addition

Left-hand rule

Cosine law

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

90°

45°

0°

180°

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

Page 3 of 3

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

Right-hand rule

Cosine law

Vector addition

Left-hand rule

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

Unity

Zero

Infinite

Maximum

53. Which of the following represents a unit vector?

î + 2ĵ

2î

î + ĵ

(1/√2)î + (1/√2)ĵ

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

î

ĵ

k̂

–î

55. Which of the following results in a scalar?

Velocity × time

Displacement + displacement

Acceleration × velocity

Force × distance (same direction)

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

Vectors at 45°

Vectors at 180°

Vectors at 0°

Vectors at 90°

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

Power

Work

Displacement

Torque

58. Which physical quantity is calculated using scalar product?

Magnetic force

Work

Torque

Angular momentum

59. Which property holds true for vector product?

A × B = B × A

A × B = 0

A × B = A·B

A × B = –B × A

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

Equal

Parallel

Perpendicular

Collinear

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

180°

0°

45°

90°

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

They form an angle of 60°

They are perpendicular

They are anti-parallel

They are parallel

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

Maximum

One

Zero

Infinite

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

Parallel

Collinear

Equal

Perpendicular

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

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

Kilogram

Newton

Newton-meter

Joule

67. What does the dot product represent geometrically?

Shadow/projection

Area

Perpendicular height

Volume

68. The cross product of î and ĵ is:

k̂

–k̂

î

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

It results in a scalar quantity

It gives a vector as result

It is equal to AB sin θ

It is affected by the direction only

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

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

ĵ

î

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

10 cos 30°

10 sin 30°

73. Which of these equations represents a zero resultant?

A + B

A – A

A + A

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

Equal to scalar product

Maximum

Zero

Negative

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

Triangle law

Newton’s law

Pythagorean theorem

Cosine law

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Malik TahirLast Updated: July 12, 2025

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MDCAT Physics Vactors And Equilibrium Online Test

Physics Vectors and Equilibrium Sample Paper Questions with Answer

Physics Vectors And Equilibrium MCQS Online Test

MDCAT 2025 Vactors And Equilibrium Online Test

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