Physics Vactors And Equilibrium Online Mcqs Test

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Question 1

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

Question 2

2. Which is not a characteristic of scalar product?

Answer

Commutative

Answer

Results in scalar

Answer

Depends on cosine of angle

Answer

Directional

Question 3

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

Question 4

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

Answer

Left-hand rule

Answer

Cosine law

Answer

Vector addition

Answer

Right-hand rule

Question 5

5. 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 6

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

Answer

Perpendicular

Question 7

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

Answer

They are parallel

Answer

They are perpendicular

Answer

They form an angle of 60°

Answer

They are anti-parallel

Question 8

8. What does the dot product represent geometrically?

Answer

Shadow/projection

Answer

Perpendicular height

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 trigonometric function appears in the formula for the scalar product?

Question 11

11. 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 12

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

Question 13

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

Question 14

14. 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 15

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

Question 16

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

Answer

Pythagorean theorem

Answer

Triangle law

Answer

Cosine law

Answer

Newton’s law

Question 17

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

Answer

Vectors at 90°

Answer

Vectors at 45°

Answer

Vectors at 0°

Answer

Vectors at 180°

Question 18

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

Question 19

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

Question 20

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

Answer

Newton-meter

Question 21

21. Which physical quantity is calculated using scalar product?

Answer

Magnetic force

Answer

Angular momentum

Question 22

22. Which of the following results in a scalar?

Answer

Acceleration × velocity

Answer

Force × distance (same direction)

Answer

Velocity × time

Answer

Displacement + displacement

Question 23

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

Answer

Displacement

Question 24

24. 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 25

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

Question 26

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

Answer

Multiplying by scalar 1

Answer

Adding zero vector

Answer

Scalar multiplication by –1

Answer

Taking dot product

Question 27

27. What is the unit of scalar product?

Answer

Newton-meter²

Question 28

28. Which mathematical operation gives a vector?

Answer

Addition of scalars

Answer

Cross product

Answer

Scalar product

Question 29

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

Question 30

30. Which property holds true for vector product?

Answer

A × B = B × A

Answer

A × B = 0

Answer

A × B = A·B

Answer

A × B = –B × A

Question 31

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

Answer

Perpendicular

Question 32

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

Question 33

33. Which of these equations represents a zero resultant?

Question 34

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

Answer

A·B = AB cos 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 pairs of vectors are anti-parallel?

Answer

Perpendicular

Answer

Same magnitude and direction

Answer

Same direction, different magnitude

Answer

Opposite direction

Question 37

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

Answer

Taking dot product

Answer

Multiplying by scalar 1

Answer

Scalar multiplication by –1

Answer

Adding zero vector

Question 38

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

Question 39

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

Answer

Non-commutative

Answer

Commutative

Answer

No direction involved

Answer

Always zero

Question 40

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

Answer

Newton-meter

Question 41

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

Question 42

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

Question 43

43. Which of these equations represents a zero resultant?

Question 44

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

Answer

Perpendicular

Question 45

45. 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 46

46. Which one is NOT a vector?

Answer

Displacement

Question 47

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

Answer

AB sin 0° = 0

Question 48

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

Answer

Ohm’s law

Answer

Law of sines

Answer

Law of cosines

Answer

Pythagoras theorem

Question 49

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

Question 50

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

Answer

Along one of the vectors

Answer

Opposite to both vectors

Answer

In the plane of the vectors

Answer

Perpendicular to both vectors

Question 51

51. The cross product of î and ĵ is:

Question 52

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

Question 53

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

Answer

tan⁻¹(Ry/Rx)

Answer

tan⁻¹(Rx/Ry)

Answer

sin⁻¹(Rx/Ry)

Answer

cos⁻¹(Rx/Ry)

Question 54

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

Answer

Subtraction

Answer

Cross product

Answer

Dot product

Question 55

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

Question 56

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

Answer

Triangle law

Answer

Newton’s law

Answer

Pythagorean theorem

Answer

Cosine law

Question 57

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

Answer

Same magnitude and direction

Answer

Opposite direction

Answer

Same direction, different magnitude

Answer

Perpendicular

Question 58

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

Question 59

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

Question 60

60. Which is not a characteristic of scalar product?

Answer

Results in scalar

Answer

Directional

Answer

Depends on cosine of angle

Answer

Commutative

Question 61

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

Answer

Left-hand rule

Answer

Right-hand rule

Answer

Cosine law

Answer

Vector addition

Question 62

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

Question 63

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

Answer

Equal to scalar product

Question 64

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

Answer 115

Perpendicular height

Answer 116

Shadow/projection

Answer 117

sin⁻¹(Rx/Ry)

Answer 118

cos⁻¹(Rx/Ry)

Answer 119

tan⁻¹(Rx/Ry)

Answer 120

tan⁻¹(Ry/Rx)

Answer 121

î + 2ĵ

Answer 122

(1/√2)î + (1/√2)ĵ

Answer 123

Perpendicular

Answer 124

Tangent θ

Answer 125

Direction only

Answer 126

Displacement

Answer 127

It results in a scalar quantity

Answer 128

It gives a vector as result

Answer 129

It is equal to AB sin θ

Answer 130

It is affected by the direction only

Answer 131

Tangent θ

Answer 132

Direction only

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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