Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Answer

tan⁻¹(Ry/Rx)

Answer

cos⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Question 2

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

Question 3

3. Which one is NOT a vector?

Answer

Displacement

Question 4

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

Answer

A·B = AB cos θ

Question 5

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

Answer

Newton-meter

Question 6

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

Question 7

7. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 8

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

Question 9

9. 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 10

10. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Commutative

Answer

Depends on cosine of angle

Answer

Directional

Question 11

11. Which property holds true for vector product?

Answer

A × B = B × A

Answer

A × B = –B × A

Answer

A × B = 0

Answer

A × B = A·B

Question 12

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

Question 13

13. Which is not a characteristic of scalar product?

Answer

Directional

Answer

Depends on cosine of angle

Answer

Commutative

Answer

Results in scalar

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Answer

Perpendicular

Question 18

18. 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 19

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

Answer

Vectors at 180°

Answer

Vectors at 90°

Answer

Vectors at 0°

Answer

Vectors at 45°

Question 20

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

Question 21

21. The cross product of î and ĵ is:

Question 22

22. Which of these equations represents a zero resultant?

Question 23

23. What is the unit of scalar product?

Answer

Newton-meter²

Question 24

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

Question 25

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

Question 26

26. 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 27

27. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 28

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

Answer

Perpendicular

Question 29

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

Answer

AB sin 0° = 0

Question 30

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

Question 31

31. Which one is NOT a vector?

Answer

Displacement

Question 32

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

Answer

Equal to scalar product

Question 33

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

Answer

Perpendicular

Question 34

34. 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 35

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

Answer

Positive maximum

Answer

Negative maximum

Question 36

36. 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 37

37. 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 38

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

Answer

Displacement

Question 39

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

Answer

Perpendicular

Answer

Opposite direction

Answer

Same magnitude and direction

Answer

Same direction, different magnitude

Question 40

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

Question 41

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

Answer

Vector addition

Answer

Right-hand rule

Answer

Left-hand rule

Answer

Cosine law

Question 42

42. 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 43

43. 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 44

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

Answer

AB sin 0° = 0

Question 45

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

Answer

Cosine law

Answer

Triangle law

Answer

Pythagorean theorem

Answer

Newton’s law

Question 46

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

Question 47

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

Answer

Newton-meter

Question 48

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

Question 49

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

Answer

Always zero

Answer

Non-commutative

Answer

No direction involved

Answer

Commutative

Question 50

50. 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 51

51. Which of the following results in a scalar?

Answer

Velocity × time

Answer

Force × distance (same direction)

Answer

Displacement + displacement

Answer

Acceleration × velocity

Question 52

52. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 53

53. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 54

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

Answer

Perpendicular

Question 55

55. Which of these equations represents a zero resultant?

Question 56

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

Question 57

57. 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 58

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

Answer

Parallelogram law

Answer

Rectangular components method

Answer

Polygon method

Answer

Triangle law

Question 59

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

Question 60

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

Question 61

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

Question 62

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

Answer

Opposite to both vectors

Answer

Along one of the vectors

Answer

Perpendicular to both vectors

Answer

In the plane of the vectors

Question 63

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

Answer

Opposite direction

Answer

Same magnitude and direction

Answer

Same direction, different magnitude

Answer

Perpendicular

Question 64

64. Which property holds true for vector product?

Answer

A × B = A·B

Answer

A × B = B × A

Answer

A × B = –B × A

Answer

A × B = 0

Answer 114

Newton’s law

Answer 115

Pythagorean theorem

Answer 116

Cosine law

Answer 117

Triangle law

Answer 118

Dot product

Answer 119

Subtraction

Answer 120

Cross product

Answer 121

Addition of scalars

Answer 122

Cross product

Answer 123

Scalar product

Answer 124

(1/√2)î + (1/√2)ĵ

Answer 125

î + 2ĵ

Answer 126

Left-hand rule

Answer 127

Cosine law

Answer 128

Right-hand rule

Answer 129

Vector addition

Answer 130

They form an angle of 60°

Answer 131

They are parallel

Answer 132

They are anti-parallel

Answer 133

They are perpendicular

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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