Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Answer

Perpendicular

Question 2

2. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 3

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

Answer

Equal to scalar product

Question 4

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

Answer

Along one of the vectors

Answer

Perpendicular to both vectors

Answer

In the plane of the vectors

Answer

Opposite to both vectors

Question 5

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

Question 6

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

Answer

AB sin 0° = 0

Question 7

7. 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 8

8. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 9

9. 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 10

10. Which mathematical operation gives a vector?

Answer

Scalar product

Answer

Addition of scalars

Answer

Cross product

Question 11

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

Question 12

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

Question 13

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

Question 14

14. Which one is NOT a vector?

Answer

Displacement

Question 15

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

Question 16

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

Answer

Parallelogram law

Answer

Polygon method

Answer

Triangle law

Answer

Rectangular components method

Question 17

17. Which of these equations represents a zero resultant?

Question 18

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

Answer

Perpendicular

Question 19

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

Answer

Negative maximum

Answer

Positive maximum

Question 20

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

Answer

Opposite direction

Answer

Perpendicular

Answer

Same direction, different magnitude

Answer

Same magnitude and direction

Question 21

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

Answer

Newton-meter

Question 22

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

Answer

Perpendicular

Question 23

23. 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 24

24. Which of these equations represents a zero resultant?

Question 25

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

Question 26

26. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 27

27. The cross product of î and ĵ is:

Question 28

28. 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 29

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

Question 30

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

Question 31

31. 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 32

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

Answer

Vectors at 0°

Answer

Vectors at 45°

Answer

Vectors at 90°

Answer

Vectors at 180°

Question 33

33. Which of the following best defines vector product?

Answer

A × B = AB sin θ n̂

Answer

A × B = AB cos θ

Answer

A·B = AB sin θ

Answer

A·B = AB cos θ

Question 34

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

Answer

They are parallel

Answer

They are anti-parallel

Answer

They form an angle of 60°

Answer

They are perpendicular

Question 35

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

Question 36

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

Question 37

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

Question 38

38. Which of the following represents a unit vector?

Answer

î + 2ĵ

Answer

(1/√2)î + (1/√2)ĵ

Question 39

39. 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 40

40. Which is not a characteristic of scalar product?

Answer

Depends on cosine of angle

Answer

Results in scalar

Answer

Directional

Answer

Commutative

Question 41

41. What is the unit of scalar product?

Answer

Newton-meter²

Question 42

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

Question 43

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

Question 44

44. 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)

Question 45

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

Answer

Displacement

Question 46

46. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Depends on cosine of angle

Answer

Directional

Answer

Commutative

Question 47

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

Answer

Left-hand rule

Answer

Cosine law

Answer

Vector addition

Answer

Right-hand rule

Question 48

48. Which one is NOT a vector?

Answer

Displacement

Question 49

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

Answer

Pythagorean theorem

Answer

Newton’s law

Answer

Triangle law

Answer

Cosine law

Question 50

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

Answer

Law of sines

Answer

Ohm’s law

Answer

Pythagoras theorem

Answer

Law of cosines

Question 51

51. Which of the following represents a unit vector?

Answer

(1/√2)î + (1/√2)ĵ

Answer

î + 2ĵ

Question 52

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

Answer

Newton’s law

Answer

Pythagorean theorem

Answer

Cosine law

Answer

Triangle law

Question 53

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

Answer

Vector addition

Answer

Cosine law

Answer

Right-hand rule

Answer

Left-hand rule

Question 54

54. Which of the following results in a scalar?

Answer

Acceleration × velocity

Answer

Velocity × time

Answer

Displacement + displacement

Answer

Force × distance (same direction)

Question 55

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

Question 56

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

Question 57

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

Question 58

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

Answer

It is affected by the direction only

Answer

It gives a vector as result

Answer

It results in a scalar quantity

Answer

It is equal to AB sin θ

Question 59

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

Question 60

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

Answer

A·B = AB cos θ

Question 61

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

Question 62

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

Answer

Adding zero vector

Answer

Multiplying by scalar 1

Answer

Scalar multiplication by –1

Answer

Taking dot product

Question 63

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

Answer

Adding zero vector

Answer

Scalar multiplication by –1

Answer

Taking dot product

Answer

Multiplying by scalar 1

Question 64

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

Answer 118

Perpendicular

Answer 119

tan⁻¹(Rx/Ry)

Answer 120

sin⁻¹(Rx/Ry)

Answer 121

cos⁻¹(Rx/Ry)

Answer 122

tan⁻¹(Ry/Rx)

Answer 123

Non-commutative

Answer 124

No direction involved

Answer 125

Commutative

Answer 126

Always zero

Answer 127

Tangent θ

Answer 128

Direction only

Answer 129

Subtraction

Answer 130

Cross product

Answer 131

Dot product

Answer 132

AB sin 0° = 0

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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