Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Question 2

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

Question 3

3. What is the unit of scalar product?

Answer

Newton-meter²

Question 4

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

Answer

Polygon method

Answer

Triangle law

Answer

Parallelogram law

Answer

Rectangular components method

Question 5

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

Answer

Newton-meter

Question 6

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

Question 7

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

Answer

Opposite direction

Answer

Same magnitude and direction

Answer

Perpendicular

Answer

Same direction, different magnitude

Question 8

8. Which is not a characteristic of scalar product?

Answer

Commutative

Answer

Directional

Answer

Depends on cosine of angle

Answer

Results in scalar

Question 9

9. Which one is NOT a vector?

Answer

Displacement

Question 10

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

Answer

A unit vector

Answer

Product of their magnitudes

Answer

Vector of same direction

Question 11

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

Question 12

12. Which of the following best defines vector product?

Answer

A·B = AB sin θ

Answer

A·B = AB cos θ

Answer

A × B = AB sin θ n̂

Answer

A × B = AB cos θ

Question 13

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

Answer

Equal to scalar product

Question 14

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

Question 15

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

Answer

Displacement

Question 16

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

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

tan⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Question 17

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

Answer

Perpendicular

Question 18

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

Answer

Direction only

Answer

Tangent θ

Question 19

19. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 20

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

Answer

Negative maximum

Answer

Positive maximum

Question 21

21. The cross product of î and ĵ is:

Question 22

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

Answer

AB sin 0° = 0

Question 23

23. 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 24

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

Answer

Dot product

Answer

Subtraction

Answer

Cross product

Question 25

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

Answer

Perpendicular

Question 26

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

Question 27

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

Question 28

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

Answer

AB sin 0° = 0

Question 29

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

Answer

Left-hand rule

Answer

Vector addition

Answer

Right-hand rule

Answer

Cosine law

Question 30

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

Question 31

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

Question 32

32. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 33

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

Answer

Scalar multiplication by –1

Answer

Multiplying by scalar 1

Answer

Taking dot product

Answer

Adding zero vector

Question 34

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

Question 35

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

Question 36

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

Answer

A·B = AB cos θ

Question 37

37. Which property holds true for vector product?

Answer

A × B = B × A

Answer

A × B = 0

Answer

A × B = –B × A

Answer

A × B = A·B

Question 38

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

Question 39

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

Question 40

40. Which mathematical operation gives a vector?

Answer

Addition of scalars

Answer

Cross product

Answer

Scalar product

Question 41

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

Answer

Perpendicular

Question 42

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

Question 43

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

Answer

Cosine law

Answer

Vector addition

Answer

Right-hand rule

Answer

Left-hand rule

Question 44

44. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 45

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

Question 46

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

Answer

Commutative

Answer

Always zero

Answer

No direction involved

Answer

Non-commutative

Question 47

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

Question 48

48. Which of these equations represents a zero resultant?

Question 49

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

Answer

Newton-meter

Question 50

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

Answer

Newton’s law

Answer

Triangle law

Answer

Cosine law

Answer

Pythagorean theorem

Question 51

51. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 52

52. Which one is NOT a vector?

Answer

Displacement

Question 53

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

Question 54

54. Which property holds true for vector product?

Answer

A × B = –B × A

Answer

A × B = A·B

Answer

A × B = B × A

Answer

A × B = 0

Question 55

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

Question 56

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

Answer

Perpendicular

Question 57

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

Question 58

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

Question 59

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

Answer

Scalar multiplication by –1

Answer

Multiplying by scalar 1

Answer

Taking dot product

Answer

Adding zero vector

Question 60

60. 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 61

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

Question 62

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

Question 63

63. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 64

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

Answer

Pythagorean theorem

Answer

Triangle law

Answer

Cosine law

Answer

Newton’s law

Answer 100

It results in a scalar quantity

Answer 101

It gives a vector as result

Answer 102

It is affected by the direction only

Answer 103

It is equal to AB sin θ

Answer 104

Along one of the vectors

Answer 105

Opposite to both vectors

Answer 106

Perpendicular to both vectors

Answer 107

In the plane of the vectors

Answer 108

Same direction, different magnitude

Answer 109

Perpendicular

Answer 110

Opposite direction

Answer 111

Same magnitude and direction

Answer 112

Pythagoras theorem

Answer 113

Law of cosines

Answer 114

Ohm’s law

Answer 115

Law of sines

Answer 116

They form an angle of 60°

Answer 117

They are anti-parallel

Answer 118

They are parallel

Answer 119

They are perpendicular

Answer 120

Depends on cosine of angle

Answer 121

Commutative

Answer 122

Results in scalar

Answer 123

Directional

Answer 124

Vectors at 180°

Answer 125

Vectors at 0°

Answer 126

Vectors at 90°

Answer 127

Vectors at 45°

Answer 128

Velocity × time

Answer 129

Acceleration × velocity

Answer 130

Force × distance (same direction)

Answer 131

Displacement + displacement

Answer 132

10 cos 30°

Answer 133

10 sin 30°

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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Malik Tahir

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