Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

1. 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 2

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

Question 3

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

Answer

Cosine law

Answer

Right-hand rule

Answer

Left-hand rule

Answer

Vector addition

Question 4

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

Question 5

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

Question 6

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

Answer

Vectors at 90°

Answer

Vectors at 45°

Answer

Vectors at 0°

Answer

Vectors at 180°

Question 7

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

Question 8

8. Which one is NOT a vector?

Answer

Displacement

Question 9

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

Question 10

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

Answer

Perpendicular

Answer

Same magnitude and direction

Answer

Opposite direction

Answer

Same direction, different magnitude

Question 11

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

Answer

AB sin 0° = 0

Question 12

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

Answer

No direction involved

Answer

Always zero

Answer

Non-commutative

Answer

Commutative

Question 13

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

Question 14

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

Answer

Adding zero vector

Answer

Multiplying by scalar 1

Answer

Taking dot product

Answer

Scalar multiplication by –1

Question 15

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

Answer

Displacement

Question 16

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

Question 17

17. Which mathematical operation gives a vector?

Answer

Scalar product

Answer

Cross product

Answer

Addition of scalars

Question 18

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

Answer

Taking dot product

Answer

Multiplying by scalar 1

Answer

Scalar multiplication by –1

Answer

Adding zero vector

Question 19

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

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Question 20

20. Which of these equations represents a zero resultant?

Question 21

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

Answer

Newton-meter

Question 22

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

Answer

AB sin 0° = 0

Question 23

23. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 24

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

Answer

Perpendicular

Question 25

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

Answer

Perpendicular

Question 26

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

Answer

Newton’s law

Answer

Pythagorean theorem

Answer

Cosine law

Answer

Triangle law

Question 27

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

Question 28

28. Which of the following best defines vector product?

Answer

A·B = AB cos θ

Answer

A × B = AB sin θ n̂

Answer

A × B = AB cos θ

Answer

A·B = AB sin θ

Question 29

29. The cross product of î and ĵ is:

Question 30

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

Question 31

31. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 32

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

Question 33

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

Question 34

34. Which of these equations represents a zero resultant?

Question 35

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

Answer

Cosine law

Answer

Pythagorean theorem

Answer

Newton’s law

Answer

Triangle law

Question 36

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

Question 37

37. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Directional

Answer

Commutative

Answer

Depends on cosine of angle

Question 38

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

Question 39

39. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 40

40. 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 41

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

Question 42

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

Question 43

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

Question 44

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

Answer

Perpendicular

Question 45

45. Which of the following results in a scalar?

Answer

Displacement + displacement

Answer

Acceleration × velocity

Answer

Force × distance (same direction)

Answer

Velocity × time

Question 46

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

Answer

Newton-meter

Question 47

47. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 48

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

Answer

Pythagoras theorem

Answer

Ohm’s law

Answer

Law of sines

Answer

Law of cosines

Question 49

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

Question 50

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

Answer

Equal to scalar product

Question 51

51. Which one is NOT a vector?

Answer

Displacement

Question 52

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

Answer

It is equal to AB sin θ

Answer

It results in a scalar quantity

Answer

It gives a vector as result

Answer

It is affected by the direction only

Question 53

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

Answer

10 cos 30°

Answer

10 sin 30°

Question 54

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

Question 55

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

Question 56

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

Answer

Left-hand rule

Answer

Vector addition

Answer

Cosine law

Answer

Right-hand rule

Question 57

57. What is the unit of scalar product?

Answer

Newton-meter²

Question 58

58. Which property holds true for vector product?

Answer

A × B = 0

Answer

A × B = B × A

Answer

A × B = A·B

Answer

A × B = –B × A

Question 59

59. 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

Question 60

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

Question 61

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

Question 62

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

Answer

Subtraction

Answer

Cross product

Answer

Dot product

Question 63

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

Answer

Same direction, different magnitude

Answer

Same magnitude and direction

Answer

Perpendicular

Answer

Opposite direction

Question 64

64. 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

Answer 108

î + 2ĵ

Answer 109

(1/√2)î + (1/√2)ĵ

Answer 110

Directional

Answer 111

Commutative

Answer 112

Results in scalar

Answer 113

Depends on cosine of angle

Answer 114

Perpendicular

Answer 115

They are parallel

Answer 116

They are perpendicular

Answer 117

They are anti-parallel

Answer 118

They form an angle of 60°

Answer 119

Polygon method

Answer 120

Triangle law

Answer 121

Rectangular components method

Answer 122

Parallelogram law

Answer 123

Perpendicular to both vectors

Answer 124

Along one of the vectors

Answer 125

In the plane of the vectors

Answer 126

Opposite to both vectors

Answer 127

Negative maximum

Answer 128

Positive maximum

Answer 129

sin⁻¹(Rx/Ry)

Answer 130

cos⁻¹(Rx/Ry)

Answer 131

tan⁻¹(Rx/Ry)

Answer 132

tan⁻¹(Ry/Rx)

Answer 133

A·B = AB cos θ

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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