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

Direction only

Answer

Tangent θ

Question 2

2. The cross product of î and ĵ is:

Question 3

3. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 4

4. Which is not a characteristic of scalar product?

Answer

Directional

Answer

Results in scalar

Answer

Commutative

Answer

Depends on cosine of angle

Question 5

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

Question 6

6. Which mathematical operation gives a vector?

Answer

Scalar product

Answer

Addition of scalars

Answer

Cross product

Question 7

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

Question 8

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

Answer

Perpendicular

Question 9

9. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 10

10. Which one is NOT a vector?

Answer

Displacement

Question 11

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

Question 12

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

Answer

In the plane of the vectors

Answer

Opposite to both vectors

Answer

Perpendicular to both vectors

Answer

Along one of the vectors

Question 13

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

Answer

AB sin 0° = 0

Question 14

14. Which one is NOT a vector?

Answer

Displacement

Question 15

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

Question 16

16. Which physical quantity is calculated using scalar product?

Answer

Magnetic force

Answer

Angular momentum

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Answer

Rectangular components method

Answer

Parallelogram law

Answer

Polygon method

Answer

Triangle law

Question 21

21. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 22

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

Question 23

23. Which of the following results in a scalar?

Answer

Velocity × time

Answer

Acceleration × velocity

Answer

Force × distance (same direction)

Answer

Displacement + displacement

Question 24

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

Answer

Same direction, different magnitude

Answer

Opposite direction

Answer

Perpendicular

Answer

Same magnitude and direction

Question 25

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

Answer

A·B = AB cos θ

Question 26

26. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 27

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

Question 28

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

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Question 29

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

Question 30

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

Question 31

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

Answer

Dot product

Answer

Cross product

Answer

Subtraction

Question 32

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

Question 33

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

Question 34

34. Which property holds true for vector product?

Answer

A × B = A·B

Answer

A × B = B × A

Answer

A × B = 0

Answer

A × B = –B × A

Question 35

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

Answer

Right-hand rule

Answer

Vector addition

Answer

Cosine law

Answer

Left-hand rule

Question 36

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

Question 37

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

Answer

Perpendicular

Question 38

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

Answer

Vectors at 45°

Answer

Vectors at 180°

Answer

Vectors at 0°

Answer

Vectors at 90°

Question 39

39. Which property holds true for vector product?

Answer

A × B = A·B

Answer

A × B = –B × A

Answer

A × B = 0

Answer

A × B = B × A

Question 40

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

Answer

Opposite direction

Answer

Perpendicular

Answer

Same magnitude and direction

Answer

Same direction, different magnitude

Question 41

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

Answer

Pythagoras theorem

Answer

Law of cosines

Answer

Law of sines

Answer

Ohm’s law

Question 42

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

Answer

They are perpendicular

Answer

They form an angle of 60°

Answer

They are anti-parallel

Answer

They are parallel

Question 43

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

Answer

Pythagorean theorem

Answer

Triangle law

Answer

Newton’s law

Answer

Cosine law

Question 44

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

Question 45

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

Answer

Displacement

Question 46

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

Question 47

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

Answer

Negative maximum

Answer

Positive maximum

Question 48

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

Answer

Non-commutative

Answer

Commutative

Answer

No direction involved

Answer

Always zero

Question 49

49. Which of these equations represents a zero resultant?

Question 50

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

Question 51

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

Answer

Multiplying by scalar 1

Answer

Taking dot product

Answer

Scalar multiplication by –1

Answer

Adding zero vector

Question 52

52. Which of these equations represents a zero resultant?

Question 53

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

Question 54

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

Question 55

55. 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 56

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

Answer

Newton-meter

Question 57

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

Answer

Cosine law

Answer

Vector addition

Answer

Right-hand rule

Answer

Left-hand rule

Question 58

58. Which is not a characteristic of scalar product?

Answer

Commutative

Answer

Directional

Answer

Depends on cosine of angle

Answer

Results in scalar

Question 59

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

Answer

Multiplying by scalar 1

Answer

Taking dot product

Answer

Adding zero vector

Answer

Scalar multiplication by –1

Question 60

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

Question 61

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

Answer

Perpendicular

Question 62

62. What is the unit of scalar product?

Answer

Newton-meter²

Question 63

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

Answer

Equal to scalar product

Question 64

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

Answer

sin⁻¹(Rx/Ry)

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer 114

Vector of same direction

Answer 115

Product of their magnitudes

Answer 116

A unit vector

Answer 117

It results in a scalar quantity

Answer 118

It is equal to AB sin θ

Answer 119

It is affected by the direction only

Answer 120

It gives a vector as result

Answer 121

Tangent θ

Answer 122

Direction only

Answer 123

Perpendicular

Answer 124

AB sin 0° = 0

Answer 125

A·B = AB cos θ

Answer 126

A × B = AB cos θ

Answer 127

A × B = AB sin θ n̂

Answer 128

A·B = AB sin θ

Answer 129

Pythagorean theorem

Answer 130

Newton’s law

Answer 131

Cosine law

Answer 132

Triangle law

Answer 133

Newton-meter

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

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