Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Answer

Scalar multiplication by –1

Answer

Adding zero vector

Answer

Taking dot product

Answer

Multiplying by scalar 1

Question 2

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

Answer

Vector addition

Answer

Left-hand rule

Answer

Right-hand rule

Answer

Cosine law

Question 3

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

Answer

Vectors at 90°

Answer

Vectors at 0°

Answer

Vectors at 180°

Answer

Vectors at 45°

Question 4

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

Question 5

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

Question 6

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

Answer

Same magnitude and direction

Answer

Same direction, different magnitude

Answer

Opposite direction

Answer

Perpendicular

Question 7

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

Answer

Law of cosines

Answer

Ohm’s law

Answer

Pythagoras theorem

Answer

Law of sines

Question 8

8. Which is not a characteristic of scalar product?

Answer

Depends on cosine of angle

Answer

Commutative

Answer

Results in scalar

Answer

Directional

Question 9

9. Which of the following best defines vector product?

Answer

A × B = AB cos θ

Answer

A·B = AB sin θ

Answer

A·B = AB cos θ

Answer

A × B = AB sin θ n̂

Question 10

10. 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 11

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

Question 12

12. 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 13

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

Question 14

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

Question 15

15. Which of the following represents a unit vector?

Answer

(1/√2)î + (1/√2)ĵ

Answer

î + 2ĵ

Question 16

16. Which of the following results in a scalar?

Answer

Acceleration × velocity

Answer

Velocity × time

Answer

Force × distance (same direction)

Answer

Displacement + displacement

Question 17

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

Answer

Dot product

Answer

Cross product

Answer

Subtraction

Question 18

18. The cross product of î and ĵ is:

Question 19

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

Answer

Displacement

Question 20

20. Which of these equations represents a zero resultant?

Question 21

21. 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 22

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

Question 23

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

Question 24

24. Which trigonometric function appears in the formula for the scalar 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 gives the direction (angle) of the resultant vector?

Answer

tan⁻¹(Ry/Rx)

Answer

tan⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Answer

cos⁻¹(Rx/Ry)

Question 27

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

Answer

Positive maximum

Answer

Negative maximum

Question 28

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

Answer

Newton-meter

Question 29

29. 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 30

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

Answer

They are anti-parallel

Answer

They are parallel

Answer

They are perpendicular

Answer

They form an angle of 60°

Question 31

31. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 32

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

Answer

Triangle law

Answer

Cosine law

Answer

Pythagorean theorem

Answer

Newton’s law

Question 33

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

Answer

Perpendicular

Question 34

34. Which of the following represents a unit vector?

Answer

(1/√2)î + (1/√2)ĵ

Answer

î + 2ĵ

Question 35

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

Answer

It results in a scalar quantity

Answer

It is affected by the direction only

Answer

It is equal to AB sin θ

Answer

It gives a vector as result

Question 36

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

Answer

Equal to scalar product

Question 37

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

Question 38

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

Question 39

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

Answer

In the plane of the vectors

Answer

Perpendicular to both vectors

Answer

Along one of the vectors

Answer

Opposite to both vectors

Question 40

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

Answer

Perpendicular

Question 41

41. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 42

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

Question 43

43. Which of these equations represents a zero resultant?

Question 44

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

Question 45

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

Question 46

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

Question 47

47. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 48

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

Answer

Same direction, different magnitude

Answer

Opposite direction

Answer

Same magnitude and direction

Answer

Perpendicular

Question 49

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

Answer

AB sin 0° = 0

Question 50

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

Answer

Newton-meter

Question 51

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

Question 52

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

Answer

A·B = AB cos θ

Question 53

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

Question 54

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

Question 55

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

Question 56

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

Question 57

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

Answer

Vector of same direction

Answer

A unit vector

Answer

Product of their magnitudes

Question 58

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

Answer

Right-hand rule

Answer

Vector addition

Answer

Cosine law

Answer

Left-hand rule

Question 59

59. Which is not a characteristic of scalar product?

Answer

Commutative

Answer

Depends on cosine of angle

Answer

Results in scalar

Answer

Directional

Question 60

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

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

tan⁻¹(Rx/Ry)

Answer

cos⁻¹(Rx/Ry)

Question 61

61. 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 62

62. Which one is NOT a vector?

Answer

Displacement

Question 63

63. 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 64

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

Answer 115

Non-commutative

Answer 116

Commutative

Answer 117

Always zero

Answer 118

No direction involved

Answer 119

Displacement

Answer 120

Rectangular components method

Answer 121

Polygon method

Answer 122

Triangle law

Answer 123

Parallelogram law

Answer 124

AB sin 0° = 0

Answer 125

Newton-meter²

Answer 126

Perpendicular

Answer 127

Cross product

Answer 128

Addition of scalars

Answer 129

Scalar product

Answer 130

A × B = B × A

Answer 131

A × B = A·B

Answer 132

A × B = 0

Answer 133

A × B = –B × A

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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