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 property holds true for vector product?

A × B = 0

A × B = –B × A

A × B = B × A

A × B = A·B

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

Pythagoras theorem

Ohm’s law

Law of sines

Law of cosines

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

10

8

15

0

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4. Which physical quantity is calculated using scalar product?

Torque

Work

Angular momentum

Magnetic force

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

Zero

Infinite

Maximum

One

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

Collinear

Perpendicular

Parallel

Equal

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

Taking dot product

Adding zero vector

Multiplying by scalar 1

Scalar multiplication by –1

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

0

8

10

15

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9. 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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10. 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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11. Which of the following quantities is a result of a cross product?

Work

Power

Torque

Displacement

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12. Which of these equations represents a zero resultant?

A + B

A + A

2A

A – A

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13. Which mathematical operation gives a vector?

Scalar product

Addition of scalars

Division

Cross product

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14. Which of the following best defines vector product?

A·B = AB sin θ

A·B = AB cos θ

A × B = AB cos θ

A × B = AB sin θ n̂

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

10

13

11

8

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

Triangle law

Newton’s law

Pythagorean theorem

Cosine law

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

–6k̂

0

6k̂

î

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

Tangent

Cosine

Sine

Secant

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

They form an angle of 60°

They are anti-parallel

They are parallel

They are perpendicular

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

12

8

14

10

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21. Which is not a characteristic of scalar product?

Results in scalar

Directional

Depends on cosine of angle

Commutative

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

Right-hand rule

Vector addition

Left-hand rule

Cosine law

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

Newton-meter

Newton

Kilogram

Joule

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

10

8

13

11

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

Joule

Kilogram

Newton

Newton-meter

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

Opposite direction

Same magnitude and direction

Same direction, different magnitude

Perpendicular

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

A × B

A·B = AB cos θ

AB tan θ

AB sin θ

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

Direction only

Cosine θ

Sine θ

Tangent θ

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

5

7

√25

√13

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

Equal to scalar product

Zero

Negative

Maximum

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

Negative maximum

Undefined

Zero

Positive maximum

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

180°

45°

90°

0°

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

90°

180°

0°

45°

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34. Which one is NOT a vector?

Work

Velocity

Displacement

Force

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35. Which of the following results in a scalar?

Force × distance (same direction)

Acceleration × velocity

Displacement + displacement

Velocity × time

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

AB sin 0° = 0

Zero

AB

A + B

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38. Which of these equations represents a zero resultant?

A – A

A + B

A + A

2A

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39. In terms of unit vectors, î × î =

1

0

ĵ

î

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

–î

î

ĵ

k̂

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

180°

45°

90°

0°

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

Vectors at 90°

Vectors at 0°

Vectors at 45°

Vectors at 180°

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

k̂

–î

î

ĵ

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

Perpendicular

Opposite

Parallel

Random

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45. What does the dot product represent geometrically?

Perpendicular height

Area

Shadow/projection

Volume

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46. The cross product of î and ĵ is:

î

k̂

0

–k̂

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

Equal

Perpendicular

Collinear

Parallel

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48. Which one is NOT a vector?

Velocity

Force

Displacement

Work

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49. What is the unit of scalar product?

No unit

Newton-meter²

Newton

Joule

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

12

10

14

8

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

10 sin 30°

10

5

10 cos 30°

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52. Which of the following represents a unit vector?

î + ĵ

(1/√2)î + (1/√2)ĵ

î + 2ĵ

2î

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

Random

Opposite

Perpendicular

Parallel

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

Maximum

Infinite

Zero

One

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

Vector addition

Left-hand rule

Right-hand rule

Cosine law

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56. 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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57. What is the direction of the vector product of two vectors?

Opposite to both vectors

In the plane of the vectors

Along one of the vectors

Perpendicular to both vectors

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

60°

0°

90°

180°

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

Product of their magnitudes

A unit vector

Vector of same direction

Zero

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

Subtraction

Cross product

Dot product

Addition

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

Taking dot product

Adding zero vector

Multiplying by scalar 1

Scalar multiplication by –1

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

A cos θ

A/cos θ

A tan θ

A sin θ

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63. Which property holds true for vector product?

A × B = A·B

A × B = B × A

A × B = –B × A

A × B = 0

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

Commutative

Always zero

Non-commutative

No direction involved

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

Maximum

Unity

Zero

Infinite

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

î

–6k̂

0

6k̂

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

Cosine law

Newton’s law

Pythagorean theorem

Triangle law

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68. 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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69. Which is not a characteristic of scalar product?

Results in scalar

Directional

Depends on cosine of angle

Commutative

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70. What does the dot product represent geometrically?

Shadow/projection

Area

Perpendicular height

Volume

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71. Which of the following represents a unit vector?

(1/√2)î + (1/√2)ĵ

2î

î + 2ĵ

î + ĵ

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

It gives a vector as result

It is equal to AB sin θ

It results in a scalar quantity

It is affected by the direction only

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

45°

0°

180°

90°

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

Tangent

Cosine

Sine

Secant

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

Zero

A + B

AB

AB sin 0° = 0

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