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. Which of these equations represents a zero resultant?

2A

A + B

A + A

A – A

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

tan⁻¹(Ry/Rx)

cos⁻¹(Rx/Ry)

tan⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

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

Vectors at 90°

Vectors at 45°

Vectors at 180°

Vectors at 0°

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

tan⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

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

10

13

11

8

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

Vector addition

Cosine law

Right-hand rule

Left-hand rule

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7. What is the unit of scalar product?

Newton-meter²

Newton

No unit

Joule

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

Always zero

No direction involved

Non-commutative

Commutative

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

In the plane of the vectors

Opposite to both vectors

Perpendicular to both vectors

Along one of the vectors

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10. Which of the following represents a unit vector?

(1/√2)î + (1/√2)ĵ

î + 2ĵ

î + ĵ

2î

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

Zero

Infinite

One

Maximum

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

Vector addition

Right-hand rule

Left-hand rule

Cosine law

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

Perpendicular

Parallel

Random

Opposite

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

10

5

10 cos 30°

10 sin 30°

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16. Which mathematical operation gives a vector?

Scalar product

Cross product

Addition of scalars

Division

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

0

8

10

15

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

Maximum

Zero

One

Infinite

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

Direction only

Sine θ

Tangent θ

Cosine θ

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

Subtraction

Dot product

Cross product

Addition

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21. Which is not a characteristic of scalar product?

Depends on cosine of angle

Commutative

Directional

Results in scalar

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22. Which of the following represents a unit vector?

î + ĵ

2î

î + 2ĵ

(1/√2)î + (1/√2)ĵ

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23. Which one is NOT a vector?

Force

Velocity

Work

Displacement

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

12

10

8

14

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

Equal to scalar product

Maximum

Negative

Zero

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

Joule

Newton

Newton-meter

Kilogram

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

Opposite direction

Same direction, different magnitude

Same magnitude and direction

Perpendicular

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

Law of sines

Pythagoras theorem

Ohm’s law

Law of cosines

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

√13

√25

7

5

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

They form an angle of 60°

They are parallel

They are anti-parallel

They are perpendicular

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31. Which one is NOT a vector?

Velocity

Force

Work

Displacement

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

A + B

AB

AB sin 0° = 0

Zero

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33. Which property holds true for vector product?

A × B = A·B

A × B = 0

A × B = –B × A

A × B = B × A

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

Perpendicular

Parallel

Random

Opposite

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

Opposite direction

Same magnitude and direction

Perpendicular

Same direction, different magnitude

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

60°

0°

180°

90°

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

Parallel

Equal

Perpendicular

Collinear

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

Equal

Collinear

Parallel

Perpendicular

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39. The cross product of î and ĵ is:

î

0

–k̂

k̂

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

AB sin θ

AB tan θ

A·B = AB cos θ

A × B

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

Secant

Tangent

Cosine

Sine

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

90°

180°

0°

45°

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

AB

AB sin 0° = 0

A + B

Zero

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44. Which is not a characteristic of scalar product?

Results in scalar

Depends on cosine of angle

Commutative

Directional

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

–6k̂

0

î

6k̂

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46. Which of the following results in a scalar?

Displacement + displacement

Force × distance (same direction)

Velocity × time

Acceleration × velocity

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

It is equal to AB sin θ

It results in a scalar quantity

It gives a vector as result

It is affected by the direction only

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

Multiplying by scalar 1

Scalar multiplication by –1

Taking dot product

Adding zero vector

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

Triangle law

Rectangular components method

Parallelogram law

Polygon method

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50. Which of these equations represents a zero resultant?

A – A

2A

A + B

A + A

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

10

13

11

8

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

Torque

Work

Power

Displacement

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

–6k̂

î

0

6k̂

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

Sine

Tangent

Secant

Cosine

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55. Which of the following best defines vector product?

A × B = AB sin θ n̂

A·B = AB cos θ

A × B = AB cos θ

A·B = AB sin θ

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56. Which property holds true for vector product?

A × B = 0

A × B = –B × A

A × B = A·B

A × B = B × A

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

–î

ĵ

î

k̂

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

Negative maximum

Zero

Positive maximum

Undefined

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

0°

45°

90°

180°

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

Triangle law

Cosine law

Pythagorean theorem

Newton’s law

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

45°

0°

90°

180°

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

180°

45°

90°

0°

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63. What does the dot product represent geometrically?

Area

Shadow/projection

Volume

Perpendicular height

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64. Which physical quantity is calculated using scalar product?

Work

Angular momentum

Magnetic force

Torque

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

Zero

Product of their magnitudes

Vector of same direction

A unit vector

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

Kilogram

Joule

Newton

Newton-meter

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

Cosine law

Pythagorean theorem

Newton’s law

Triangle law

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

Cosine θ

Direction only

Tangent θ

Sine θ

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

10

12

8

14

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

Maximum

Infinite

Zero

Unity

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

15

10

0

8

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

k̂

î

ĵ

–î

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73. In terms of unit vectors, î × î =

0

î

ĵ

1

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

A cos θ

A tan θ

A sin θ

A/cos θ

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75. What does the dot product represent geometrically?

Perpendicular height

Volume

Shadow/projection

Area

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