MDCAT Physics Vactors And Equilibrium Online Test

Physics Vectors And Equilibrium MCQS Online Test

Boost your MDCAT Physics preparation with this focused online MCQ test on Vectors and Equilibrium. This quiz covers important concepts like vector addition, resolution, equilibrium conditions, and torque, following the latest MDCAT 2025 syllabus to help you master the chapter.

MDCAT 2025 Vactors And Equilibrium Online Test

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

Triangle law

Newton’s law

Cosine law

Pythagorean theorem

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

AB sin θ

AB tan θ

A × B

A·B = AB cos θ

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

Kilogram

Newton

Joule

Newton-meter

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4. Which of these equations represents a zero resultant?

A + B

A + A

A – A

2A

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5. The cross product of î and ĵ is:

k̂

0

–k̂

î

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6. Which one is NOT a vector?

Displacement

Force

Velocity

Work

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

Infinite

Maximum

Zero

One

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

7

5

√25

√13

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

Law of cosines

Law of sines

Ohm’s law

Pythagoras theorem

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

0

8

10

15

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

Vector addition

Right-hand rule

Cosine law

Left-hand rule

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

Sine

Secant

Tangent

Cosine

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13. Which property holds true for vector product?

A × B = B × A

A × B = –B × A

A × B = 0

A × B = A·B

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

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

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

Non-commutative

No direction involved

Always zero

Commutative

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

Zero

Positive maximum

Negative maximum

Undefined

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17. Which physical quantity is calculated using scalar product?

Work

Angular momentum

Magnetic force

Torque

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18. What is the unit of scalar product?

Newton-meter²

Joule

Newton

No unit

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

Right-hand rule

Vector addition

Left-hand rule

Cosine law

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20. Which one is NOT a vector?

Force

Displacement

Work

Velocity

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

Adding zero vector

Scalar multiplication by –1

Taking dot product

Multiplying by scalar 1

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

Infinite

Zero

Unity

Maximum

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23. Which is not a characteristic of scalar product?

Directional

Depends on cosine of angle

Results in scalar

Commutative

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

Vector of same direction

A unit vector

Zero

Product of their magnitudes

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25. What does the dot product represent geometrically?

Shadow/projection

Area

Perpendicular height

Volume

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

Opposite direction

Perpendicular

Same magnitude and direction

Same direction, different magnitude

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

8

14

10

12

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

6k̂

î

–6k̂

0

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

45°

0°

90°

180°

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

Maximum

One

Zero

Infinite

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

Joule

Kilogram

Newton-meter

Newton

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

Same direction, different magnitude

Perpendicular

Opposite direction

Same magnitude and direction

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

Triangle law

Rectangular components method

Polygon method

Parallelogram law

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

Power

Torque

Displacement

Work

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35. Which of the following represents a unit vector?

î + 2ĵ

(1/√2)î + (1/√2)ĵ

î + ĵ

2î

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

14

12

8

10

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

45°

180°

0°

90°

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

180°

90°

45°

0°

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

10

8

11

13

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40. If A and B are vectors, and θ is the angle between them, then scalar product depends on:

Direction only

Tangent θ

Cosine θ

Sine θ

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

Taking dot product

Multiplying by scalar 1

Adding zero vector

Scalar multiplication by –1

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

90°

180°

45°

0°

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

AB

A + B

Zero

AB sin 0° = 0

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

8

11

10

13

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

They are perpendicular

They are anti-parallel

They form an angle of 60°

They are parallel

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

Opposite

Perpendicular

Random

Parallel

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47. What is the x-component of a vector of magnitude 10 units making 30° with the x-axis?

10

10 cos 30°

5

10 sin 30°

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

Perpendicular to both vectors

Opposite to both vectors

Along one of the vectors

In the plane of the vectors

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49. Which property holds true for vector product?

A × B = –B × A

A × B = B × A

A × B = 0

A × B = A·B

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

Cosine law

Pythagorean theorem

Triangle law

Newton’s law

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

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

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52. What does the dot product represent geometrically?

Area

Perpendicular height

Shadow/projection

Volume

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53. Which mathematical operation gives a vector?

Scalar product

Cross product

Addition of scalars

Division

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54. Which of the following results in a scalar?

Displacement + displacement

Velocity × time

Acceleration × velocity

Force × distance (same direction)

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

Cross product

Subtraction

Dot product

Addition

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

8

15

0

10

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57. Which of these equations represents a zero resultant?

A + A

2A

A – A

A + B

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

Secant

Cosine

Tangent

Sine

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59. Which of the following represents a unit vector?

î + 2ĵ

î + ĵ

(1/√2)î + (1/√2)ĵ

2î

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

Vectors at 0°

Vectors at 180°

Vectors at 90°

Vectors at 45°

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

90°

0°

180°

60°

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62. Which is not a characteristic of scalar product?

Directional

Commutative

Results in scalar

Depends on cosine of angle

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

Zero

Maximum

Equal to scalar product

Negative

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

î

–6k̂

0

6k̂

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65. In terms of unit vectors, î × î =

î

1

ĵ

0

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66. Which of the following best defines vector product?

A·B = AB sin θ

A × B = AB cos θ

A × B = AB sin θ n̂

A·B = AB cos θ

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

It is equal to AB sin θ

It is affected by the direction only

It gives a vector as result

It results in a scalar quantity

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

Parallel

Opposite

Random

Perpendicular

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

Equal

Collinear

Perpendicular

Parallel

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

Parallel

Equal

Perpendicular

Collinear

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

A/cos θ

A sin θ

A tan θ

A cos θ

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

–î

î

ĵ

k̂

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

k̂

–î

ĵ

î

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

A + B

Zero

AB

AB sin 0° = 0

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75. If A and B are vectors, and θ is the angle between them, then scalar product depends on:

Cosine θ

Tangent θ

Direction only

Sine θ

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