Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Question 2

2. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 3

3. The cross product of î and ĵ is:

Question 4

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

Question 5

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

Answer

Equal to scalar product

Question 6

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

Question 7

7. Which one is NOT a vector?

Answer

Displacement

Question 8

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

Answer

Along one of the vectors

Answer

Opposite to both vectors

Answer

In the plane of the vectors

Answer

Perpendicular to both vectors

Question 9

9. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 10

10. 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 11

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

Question 12

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

Question 13

13. 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 14

14. What is the unit of scalar product?

Answer

Newton-meter²

Question 15

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

Answer

Perpendicular

Question 16

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

Question 17

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

Question 18

18. 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 19

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

Answer

Perpendicular

Answer

Same direction, different magnitude

Answer

Same magnitude and direction

Answer

Opposite direction

Question 20

20. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 21

21. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 22

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

Answer

Taking dot product

Answer

Scalar multiplication by –1

Answer

Adding zero vector

Answer

Multiplying by scalar 1

Question 23

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

Question 24

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

Answer

Perpendicular

Question 25

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

Question 26

26. 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 27

27. Which one is NOT a vector?

Answer

Displacement

Question 28

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

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Question 29

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

Question 30

30. Which of these equations represents a zero resultant?

Question 31

31. Which of these equations represents a zero resultant?

Question 32

32. Which property holds true for vector product?

Answer

A × B = 0

Answer

A × B = A·B

Answer

A × B = B × A

Answer

A × B = –B × A

Question 33

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

Answer

A·B = AB cos θ

Question 34

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

Answer

Pythagorean theorem

Answer

Cosine law

Answer

Newton’s law

Answer

Triangle law

Question 35

35. Which property holds true for vector product?

Answer

A × B = A·B

Answer

A × B = 0

Answer

A × B = B × A

Answer

A × B = –B × A

Question 36

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

Question 37

37. 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 38

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

Question 39

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

Question 40

40. 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 41

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

Answer

Displacement

Question 42

42. Which of the following represents a unit vector?

Answer

(1/√2)î + (1/√2)ĵ

Answer

î + 2ĵ

Question 43

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

Answer

A unit vector

Answer

Vector of same direction

Answer

Product of their magnitudes

Question 44

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

Answer

Right-hand rule

Answer

Vector addition

Answer

Left-hand rule

Answer

Cosine law

Question 45

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

Question 46

46. Which is not a characteristic of scalar product?

Answer

Directional

Answer

Depends on cosine of angle

Answer

Results in scalar

Answer

Commutative

Question 47

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

Answer

Pythagoras theorem

Answer

Ohm’s law

Answer

Law of cosines

Answer

Law of sines

Question 48

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

Answer

Positive maximum

Answer

Negative maximum

Question 49

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

Question 50

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

Question 51

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

Answer

Perpendicular

Question 52

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

Answer

Vectors at 45°

Answer

Vectors at 90°

Answer

Vectors at 0°

Answer

Vectors at 180°

Question 53

53. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Commutative

Answer

Directional

Answer

Depends on cosine of angle

Question 54

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

Question 55

55. Which of the following results in a scalar?

Answer

Acceleration × velocity

Answer

Displacement + displacement

Answer

Force × distance (same direction)

Answer

Velocity × time

Question 56

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

Answer

Subtraction

Answer

Dot product

Answer

Cross product

Question 57

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

Question 58

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

Answer

Vector addition

Answer

Right-hand rule

Answer

Cosine law

Answer

Left-hand rule

Question 59

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

Answer

Newton-meter

Question 60

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

Question 61

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

Answer

Triangle law

Answer

Parallelogram law

Answer

Rectangular components method

Answer

Polygon method

Question 62

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

Answer

Perpendicular

Question 63

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

Question 64

64. Which mathematical operation gives a vector?

Answer

Scalar product

Answer

Cross product

Answer

Addition of scalars

Answer 113

Newton’s law

Answer 114

Triangle law

Answer 115

Pythagorean theorem

Answer 116

Cosine law

Answer 117

AB sin 0° = 0

Answer 118

Newton-meter

Answer 119

They are perpendicular

Answer 120

They are parallel

Answer 121

They form an angle of 60°

Answer 122

They are anti-parallel

Answer 123

10 sin 30°

Answer 124

10 cos 30°

Answer 125

Multiplying by scalar 1

Answer 126

Adding zero vector

Answer 127

Taking dot product

Answer 128

Scalar multiplication by –1

Answer 129

AB sin 0° = 0

Answer 130

Non-commutative

Answer 131

Always zero

Answer 132

No direction involved

Answer 133

Commutative

Total Questions:	75
Time Allowed:	35 Minutes
Total Marks:	75
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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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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