Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

1. Which of these equations represents a zero resultant?

Question 2

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

Question 3

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

Answer

They form an angle of 60°

Answer

They are perpendicular

Answer

They are parallel

Answer

They are anti-parallel

Question 4

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

Question 5

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

Question 6

6. 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 7

7. Which of the following results in a scalar?

Answer

Acceleration × velocity

Answer

Velocity × time

Answer

Force × distance (same direction)

Answer

Displacement + displacement

Question 8

8. Which one is NOT a vector?

Answer

Displacement

Question 9

9. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 10

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

Question 11

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

Answer

Newton-meter

Question 12

12. What is the unit of scalar product?

Answer

Newton-meter²

Question 13

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

Answer

Displacement

Question 14

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

Question 15

15. 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

Question 16

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

Answer

Cross product

Answer

Subtraction

Answer

Dot product

Question 17

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

Question 18

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

Question 19

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

Answer

Non-commutative

Answer

No direction involved

Answer

Commutative

Answer

Always zero

Question 20

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

Answer

Perpendicular to both vectors

Answer

Opposite to both vectors

Answer

Along one of the vectors

Answer

In the plane of the vectors

Question 21

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

Answer

Newton’s law

Answer

Triangle law

Answer

Pythagorean theorem

Answer

Cosine law

Question 22

22. Which one is NOT a vector?

Answer

Displacement

Question 23

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

Question 24

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

Answer

Taking dot product

Answer

Adding zero vector

Answer

Multiplying by scalar 1

Answer

Scalar multiplication by –1

Question 25

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

Question 26

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

Question 27

27. Which is not a characteristic of scalar product?

Answer

Directional

Answer

Depends on cosine of angle

Answer

Results in scalar

Answer

Commutative

Question 28

28. 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

Question 29

29. 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 30

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

Answer

Perpendicular

Question 31

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

Answer

Perpendicular

Question 32

32. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 33

33. 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 34

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

Question 35

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

Answer

Law of cosines

Answer

Pythagoras theorem

Answer

Ohm’s law

Answer

Law of sines

Question 36

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

Answer

Perpendicular

Question 37

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

Answer

AB sin 0° = 0

Question 38

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

Question 39

39. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 40

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

Question 41

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

Answer

A·B = AB cos θ

Question 42

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

Answer

Equal to scalar product

Question 43

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

Answer

cos⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

tan⁻¹(Rx/Ry)

Question 44

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

Question 45

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

Answer

Newton-meter

Question 46

46. Which mathematical operation gives a vector?

Answer

Cross product

Answer

Scalar product

Answer

Addition of scalars

Question 47

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

Answer

Left-hand rule

Answer

Vector addition

Answer

Cosine law

Answer

Right-hand rule

Question 48

48. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 49

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

Question 50

50. 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 51

51. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Commutative

Answer

Depends on cosine of angle

Answer

Directional

Question 52

52. Which of these equations represents a zero resultant?

Question 53

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

Answer

Positive maximum

Answer

Negative maximum

Question 54

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

Question 55

55. 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 56

56. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 57

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

Answer

cos⁻¹(Rx/Ry)

Answer

tan⁻¹(Rx/Ry)

Answer

tan⁻¹(Ry/Rx)

Answer

sin⁻¹(Rx/Ry)

Question 58

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

Answer

Product of their magnitudes

Answer

A unit vector

Answer

Vector of same direction

Question 59

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

Question 60

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

Question 61

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

Answer

Perpendicular

Answer

Same magnitude and direction

Answer

Same direction, different magnitude

Answer

Opposite direction

Question 62

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

Question 63

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

Answer

Rectangular components method

Answer

Parallelogram law

Answer

Triangle law

Answer

Polygon method

Question 64

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

Answer

Vectors at 180°

Answer

Vectors at 0°

Answer

Vectors at 90°

Answer

Vectors at 45°

Answer 116

Vector addition

Answer 117

Right-hand rule

Answer 118

Left-hand rule

Answer 119

Cosine law

Answer 120

Opposite direction

Answer 121

Same magnitude and direction

Answer 122

Perpendicular

Answer 123

Same direction, different magnitude

Answer 124

Perpendicular

Answer 125

It is equal to AB sin θ

Answer 126

It results in a scalar quantity

Answer 127

It gives a vector as result

Answer 128

It is affected by the direction only

Answer 129

A × B = AB sin θ n̂

Answer 130

A·B = AB cos θ

Answer 131

A·B = AB sin θ

Answer 132

A × B = AB cos θ

Answer 133

AB sin 0° = 0

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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Malik Tahir

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