Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Question 2

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

Question 3

3. Which of the following best defines vector product?

Answer

A·B = AB sin θ

Answer

A·B = AB cos θ

Answer

A × B = AB cos θ

Answer

A × B = AB sin θ n̂

Question 4

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

Answer

Negative maximum

Answer

Positive maximum

Question 5

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

Question 6

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

Answer

Vector addition

Answer

Cosine law

Answer

Right-hand rule

Answer

Left-hand rule

Question 7

7. 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 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 quantities is a result of a cross product?

Answer

Displacement

Question 10

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

Question 11

11. The cross product of î and ĵ is:

Question 12

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

Answer

Opposite direction

Answer

Same direction, different magnitude

Answer

Perpendicular

Answer

Same magnitude and direction

Question 13

13. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Depends on cosine of angle

Answer

Directional

Answer

Commutative

Question 14

14. 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 15

15. Which of these equations represents a zero resultant?

Question 16

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

Answer

They are perpendicular

Answer

They are anti-parallel

Answer

They form an angle of 60°

Answer

They are parallel

Question 17

17. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

Question 18

18. Which one is NOT a vector?

Answer

Displacement

Question 19

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

Answer

Newton’s law

Answer

Cosine law

Answer

Triangle law

Answer

Pythagorean theorem

Question 20

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

Question 21

21. 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°

Question 22

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

Answer

Subtraction

Answer

Cross product

Answer

Dot product

Question 23

23. 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 24

24. Which of these equations represents a zero resultant?

Question 25

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

Question 26

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

Answer

Perpendicular

Question 27

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

Question 28

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

Question 29

29. Which mathematical operation gives a vector?

Answer

Addition of scalars

Answer

Scalar product

Answer

Cross product

Question 30

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

Question 31

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

Answer

Perpendicular

Answer

Same direction, different magnitude

Answer

Opposite direction

Answer

Same magnitude and direction

Question 32

32. Which one is NOT a vector?

Answer

Displacement

Question 33

33. 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 34

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

Answer

A·B = AB cos θ

Question 35

35. Which of the following results in a scalar?

Answer

Force × distance (same direction)

Answer

Acceleration × velocity

Answer

Displacement + displacement

Answer

Velocity × time

Question 36

36. 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 37

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

Answer

Perpendicular

Question 38

38. Which property holds true for vector product?

Answer

A × B = B × A

Answer

A × B = A·B

Answer

A × B = –B × A

Answer

A × B = 0

Question 39

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

Question 40

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

Answer

It gives a vector as result

Answer

It results in a scalar quantity

Answer

It is equal to AB sin θ

Answer

It is affected by the direction only

Question 41

41. What does the dot product represent geometrically?

Answer

Perpendicular height

Answer

Shadow/projection

Question 42

42. 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 43

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

Question 44

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

Question 45

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

Question 46

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

Question 47

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

Answer

Perpendicular

Question 48

48. Which of the following represents a unit vector?

Answer

(1/√2)î + (1/√2)ĵ

Answer

î + 2ĵ

Question 49

49. Which property holds true for vector product?

Answer

A × B = 0

Answer

A × B = A·B

Answer

A × B = B × A

Answer

A × B = –B × A

Question 50

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

Question 51

51. 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 52

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

Answer

Equal to scalar product

Question 53

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

Question 54

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

Question 55

55. 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 56

56. Which physical quantity is calculated using scalar product?

Answer

Angular momentum

Answer

Magnetic force

Question 57

57. What is the unit of scalar product?

Answer

Newton-meter²

Question 58

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

Question 59

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

Question 60

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

Question 61

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

Answer

Ohm’s law

Answer

Pythagoras theorem

Answer

Law of cosines

Answer

Law of sines

Question 62

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

Answer

Left-hand rule

Answer

Right-hand rule

Answer

Vector addition

Answer

Cosine law

Question 63

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

Answer

Always zero

Answer

No direction involved

Answer

Non-commutative

Answer

Commutative

Question 64

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

Answer 115

Newton-meter

Answer 116

Newton-meter

Answer 117

Parallelogram law

Answer 118

Polygon method

Answer 119

Triangle law

Answer 120

Rectangular components method

Answer 121

AB sin 0° = 0

Answer 122

Perpendicular

Answer 123

AB sin 0° = 0

Answer 124

(1/√2)î + (1/√2)ĵ

Answer 125

î + 2ĵ

Answer 126

Scalar multiplication by –1

Answer 127

Adding zero vector

Answer 128

Taking dot product

Answer 129

Multiplying by scalar 1

Answer 130

Triangle law

Answer 131

Cosine law

Answer 132

Newton’s law

Answer 133

Pythagorean theorem

Total Questions:	75
Time Allowed:	35 Minutes
Total Marks:	75
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Vactors And Equilibrium Question and Answer

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