MDCAT Physics Vactors And Equilibrium Online Test

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

Please wait...

 0%

Page 1 of 3

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

Cosine law

Vector addition

Right-hand rule

Left-hand rule

 Loading...

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

Undefined

Zero

Positive maximum

Negative maximum

 Loading...

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

0°

90°

45°

180°

 Loading...

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

45°

0°

180°

90°

 Loading...

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

Maximum

Equal to scalar product

Zero

Negative

 Loading...

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

Power

Displacement

Work

Torque

 Loading...

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

7

5

√25

√13

 Loading...

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

Opposite direction

Same magnitude and direction

Same direction, different magnitude

Perpendicular

 Loading...

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

It results in a scalar quantity

It is equal to AB sin θ

It gives a vector as result

It is affected by the direction only

 Loading...

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

Pythagorean theorem

Newton’s law

Cosine law

Triangle law

 Loading...

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

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

 Loading...

12. Which of the following represents a unit vector?

2î

(1/√2)î + (1/√2)ĵ

î + ĵ

î + 2ĵ

 Loading...

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

Cosine

Secant

Tangent

Sine

 Loading...

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

î

k̂

ĵ

–î

 Loading...

15. Which of these equations represents a zero resultant?

A + B

2A

A + A

A – A

 Loading...

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

Infinite

Zero

One

Maximum

 Loading...

17. What does the dot product represent geometrically?

Volume

Area

Shadow/projection

Perpendicular height

 Loading...

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

Sine θ

Cosine θ

Tangent θ

Direction only

 Loading...

19. 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

 Loading...

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

–6k̂

0

6k̂

î

 Loading...

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

Same direction, different magnitude

Perpendicular

Opposite direction

Same magnitude and direction

 Loading...

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

No direction involved

Commutative

Always zero

Non-commutative

 Loading...

23. Which of the following best defines vector product?

A × B = AB sin θ n̂

A × B = AB cos θ

A·B = AB cos θ

A·B = AB sin θ

 Loading...

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

They are parallel

They form an angle of 60°

They are anti-parallel

They are perpendicular

 Loading...

25. What is the unit of scalar product?

Joule

No unit

Newton-meter²

Newton

 Loading...

Page 2 of 3

26. Which property holds true for vector product?

A × B = –B × A

A × B = 0

A × B = A·B

A × B = B × A

 Loading...

27. Which mathematical operation gives a vector?

Addition of scalars

Cross product

Scalar product

Division

 Loading...

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

10

15

0

8

 Loading...

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

î

6k̂

0

–6k̂

 Loading...

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

Zero

One

Maximum

Infinite

 Loading...

31. Which physical quantity is calculated using scalar product?

Torque

Magnetic force

Angular momentum

Work

 Loading...

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

Opposite

Perpendicular

Parallel

Random

 Loading...

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

In the plane of the vectors

Perpendicular to both vectors

Opposite to both vectors

Along one of the vectors

 Loading...

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

Perpendicular

Collinear

Equal

Parallel

 Loading...

35. Which one is NOT a vector?

Displacement

Force

Work

Velocity

 Loading...

36. Which of these equations represents a zero resultant?

A + B

A – A

2A

A + A

 Loading...

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

180°

90°

45°

0°

 Loading...

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

10

8

15

0

 Loading...

39. Which one is NOT a vector?

Velocity

Displacement

Force

Work

 Loading...

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

Random

Opposite

Perpendicular

Parallel

 Loading...

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

Taking dot product

Adding zero vector

Scalar multiplication by –1

Multiplying by scalar 1

 Loading...

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

Equal

Parallel

Collinear

Perpendicular

 Loading...

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

12

14

8

10

 Loading...

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

ĵ

î

–î

k̂

 Loading...

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

Cosine law

Right-hand rule

Vector addition

Left-hand rule

 Loading...

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

A × B

AB tan θ

AB sin θ

A·B = AB cos θ

 Loading...

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

A + B

AB

Zero

AB sin 0° = 0

 Loading...

48. The cross product of î and ĵ is:

k̂

–k̂

0

î

 Loading...

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

Newton

Kilogram

Joule

Newton-meter

 Loading...

50. Which property holds true for vector product?

A × B = –B × A

A × B = 0

A × B = A·B

A × B = B × A

 Loading...

Page 3 of 3

51. Which is not a characteristic of scalar product?

Commutative

Results in scalar

Depends on cosine of angle

Directional

 Loading...

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

5

10 cos 30°

10

10 sin 30°

 Loading...

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

Newton-meter

Newton

Kilogram

Joule

 Loading...

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

10

12

8

14

 Loading...

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

Sine

Tangent

Secant

Cosine

 Loading...

56. Which of the following represents a unit vector?

(1/√2)î + (1/√2)ĵ

î + ĵ

2î

î + 2ĵ

 Loading...

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

A sin θ

A cos θ

A tan θ

A/cos θ

 Loading...

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

Law of sines

Law of cosines

Ohm’s law

Pythagoras theorem

 Loading...

59. Which of the following results in a scalar?

Velocity × time

Force × distance (same direction)

Acceleration × velocity

Displacement + displacement

 Loading...

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

Infinite

Unity

Maximum

Zero

 Loading...

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

Multiplying by scalar 1

Adding zero vector

Taking dot product

Scalar multiplication by –1

 Loading...

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

90°

180°

60°

0°

 Loading...

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

11

8

13

10

 Loading...

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

Zero

AB

A + B

AB sin 0° = 0

 Loading...

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

0°

180°

45°

90°

 Loading...

66. Which is not a characteristic of scalar product?

Results in scalar

Directional

Depends on cosine of angle

Commutative

 Loading...

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

Pythagorean theorem

Cosine law

Triangle law

Newton’s law

 Loading...

68. In terms of unit vectors, î × î =

0

î

ĵ

1

 Loading...

69. What does the dot product represent geometrically?

Shadow/projection

Perpendicular height

Volume

Area

 Loading...

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

Vectors at 0°

Vectors at 45°

Vectors at 180°

Vectors at 90°

 Loading...

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

13

11

10

8

 Loading...

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

Cosine θ

Direction only

Sine θ

Tangent θ

 Loading...

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

Cross product

Dot product

Addition

Subtraction

 Loading...

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

Rectangular components method

Triangle law

Polygon method

Parallelogram law

 Loading...

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

cos⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

 Loading...

 Loading...

• <<
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10
• 11
• 12
• 13
• 14
• 15
• 16
• 17
• 18
• 19
• 20
• 21
• 22
• 23
• 24
• 25
• 26
• 27
• 28
• 29
• 30
• 31
• 32
• 33
• 34
• 35
• 36
• 37
• 38
• 39
• 40
• 41
• 42
• 43
• 44
• 45
• 46
• 47
• 48
• 49
• 50
• 51
• 52
• 53
• 54
• 55
• 56
• 57
• 58
• 59
• 60
• 61
• 62
• 63
• 64
• 65
• 66
• 67
• 68
• 69
• 70
• 71
• 72
• 73
• 74
• 75
• >>