Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Answer

10 sin 30°

Answer

10 cos 30°

Question 2

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

Answer

Law of sines

Answer

Ohm’s law

Answer

Pythagoras theorem

Answer

Law of cosines

Question 3

3. Which of these equations represents a zero resultant?

Question 4

4. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 5

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

Answer

Displacement

Question 6

6. What is the unit of scalar product?

Answer

Newton-meter²

Question 7

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

Answer

It gives a vector as result

Answer

It is equal to AB sin θ

Answer

It is affected by the direction only

Answer

It results in a scalar quantity

Question 8

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

Answer

Perpendicular

Question 9

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

Answer

tan⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

cos⁻¹(Rx/Ry)

Question 10

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

Answer

Vectors at 0°

Answer

Vectors at 180°

Answer

Vectors at 90°

Answer

Vectors at 45°

Question 11

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

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Answer

Adding zero vector

Answer

Taking dot product

Answer

Scalar multiplication by –1

Answer

Multiplying by scalar 1

Question 16

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

Question 17

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

Question 18

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

Answer

Tangent θ

Answer

Direction only

Question 19

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

Question 20

20. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 21

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

Question 22

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

Answer

They are perpendicular

Answer

They are anti-parallel

Answer

They are parallel

Answer

They form an angle of 60°

Question 23

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

Answer

Always zero

Answer

Commutative

Answer

No direction involved

Answer

Non-commutative

Question 24

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

Answer

Right-hand rule

Answer

Left-hand rule

Answer

Cosine law

Answer

Vector addition

Question 25

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

Answer

tan⁻¹(Ry/Rx)

Answer

sin⁻¹(Rx/Ry)

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Question 26

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

Answer

Left-hand rule

Answer

Right-hand rule

Answer

Vector addition

Answer

Cosine law

Question 27

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

Question 28

28. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 29

29. Which one is NOT a vector?

Answer

Displacement

Question 30

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

Question 31

31. The cross product of î and ĵ is:

Question 32

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

Answer

Tangent θ

Answer

Direction only

Question 33

33. Which of the following represents a unit vector?

Answer

(1/√2)î + (1/√2)ĵ

Answer

î + 2ĵ

Question 34

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

Answer

AB sin 0° = 0

Question 35

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

Question 36

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

Answer

A·B = AB cos θ

Question 37

37. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 38

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

Answer

Equal to scalar product

Question 39

39. Which one is NOT a vector?

Answer

Displacement

Question 40

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

Answer

Newton-meter

Question 41

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

Answer

Perpendicular

Question 42

42. Which of the following results in a scalar?

Answer

Displacement + displacement

Answer

Force × distance (same direction)

Answer

Velocity × time

Answer

Acceleration × velocity

Question 43

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

Answer

AB sin 0° = 0

Question 44

44. Which of the following best defines vector product?

Answer

A·B = AB cos θ

Answer

A × B = AB cos θ

Answer

A × B = AB sin θ n̂

Answer

A·B = AB sin θ

Question 45

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

Answer

Scalar multiplication by –1

Answer

Multiplying by scalar 1

Answer

Adding zero vector

Answer

Taking dot product

Question 46

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

Answer

Rectangular components method

Answer

Polygon method

Answer

Parallelogram law

Answer

Triangle law

Question 47

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

Question 48

48. Which property holds true for vector product?

Answer

A × B = 0

Answer

A × B = B × A

Answer

A × B = –B × A

Answer

A × B = A·B

Question 49

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

Question 50

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

Question 51

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

Answer

Dot product

Answer

Subtraction

Answer

Cross product

Question 52

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

Question 53

53. Which property holds true for vector product?

Answer

A × B = –B × A

Answer

A × B = A·B

Answer

A × B = 0

Answer

A × B = B × A

Question 54

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

Answer

Negative maximum

Answer

Positive maximum

Question 55

55. Which of these equations represents a zero resultant?

Question 56

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

Question 57

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

Question 58

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

Question 59

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

Question 60

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

Question 61

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

Question 62

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

Answer

Perpendicular

Question 63

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

Question 64

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

Answer

Vector of same direction

Answer

Product of their magnitudes

Answer

A unit vector

Answer 101

Scalar product

Answer 102

Cross product

Answer 103

Addition of scalars

Answer 104

Perpendicular

Answer 105

Newton-meter

Answer 106

Opposite to both vectors

Answer 107

Perpendicular to both vectors

Answer 108

Along one of the vectors

Answer 109

In the plane of the vectors

Answer 110

Same direction, different magnitude

Answer 111

Perpendicular

Answer 112

Opposite direction

Answer 113

Same magnitude and direction

Answer 114

Commutative

Answer 115

Directional

Answer 116

Results in scalar

Answer 117

Depends on cosine of angle

Answer 118

Pythagorean theorem

Answer 119

Cosine law

Answer 120

Triangle law

Answer 121

Newton’s law

Answer 122

Results in scalar

Answer 123

Directional

Answer 124

Depends on cosine of angle

Answer 125

Commutative

Answer 126

Same direction, different magnitude

Answer 127

Opposite direction

Answer 128

Same magnitude and direction

Answer 129

Perpendicular

Answer 130

Pythagorean theorem

Answer 131

Cosine law

Answer 132

Triangle law

Answer 133

Newton’s law

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:	Physics Test ECAT Test MDCAT Test FPSC/PPSC/SPSC/KPPSC/BPSC/AJKPSC/NTS Physics Interview Question Answer

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Important Vactors And Equilibrium Question and Answer

Physics Vactors And Equilibrium Practice Test Online With Explanation

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