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 the following determines direction of vector product?

Cosine law

Vector addition

Right-hand rule

Left-hand rule

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

tan⁻¹(Ry/Rx)

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

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

180°

90°

0°

45°

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

Parallel

Perpendicular

Equal

Collinear

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

8

10

0

15

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

k̂

ĵ

î

–î

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

10

0

8

15

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9. 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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10. Which property holds true for vector product?

A × B = –B × A

A × B = 0

A × B = A·B

A × B = B × A

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

60°

90°

180°

0°

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

Right-hand rule

Left-hand rule

Cosine law

Vector addition

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

6k̂

–6k̂

0

î

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14. Which mathematical operation gives a vector?

Scalar product

Division

Addition of scalars

Cross product

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

Sine θ

Cosine θ

Tangent θ

Direction only

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

Perpendicular

Opposite

Random

Parallel

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

Polygon method

Parallelogram law

Triangle law

Rectangular components method

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

sin⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

tan⁻¹(Rx/Ry)

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19. Which of the following represents a unit vector?

2î

î + ĵ

î + 2ĵ

(1/√2)î + (1/√2)ĵ

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

0

î

–6k̂

6k̂

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

45°

90°

180°

0°

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

It is affected by the direction only

It is equal to AB sin θ

It gives a vector as result

It results in a scalar quantity

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

Zero

Maximum

Unity

Infinite

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

Vectors at 45°

Vectors at 0°

Vectors at 90°

Vectors at 180°

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

11

10

13

8

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

Negative

Zero

Maximum

Equal to scalar product

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

8

12

10

14

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28. Which is not a characteristic of scalar product?

Results in scalar

Directional

Commutative

Depends on cosine of angle

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

A sin θ

A cos θ

A tan θ

A/cos θ

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30. What does the dot product represent geometrically?

Area

Perpendicular height

Volume

Shadow/projection

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

Taking dot product

Scalar multiplication by –1

Multiplying by scalar 1

Adding zero vector

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

0°

45°

90°

180°

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

0°

180°

90°

45°

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

Vector of same direction

Zero

Product of their magnitudes

A unit vector

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35. Which of the following best defines vector product?

A × B = AB cos θ

A·B = AB sin θ

A × B = AB sin θ n̂

A·B = AB cos θ

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

AB tan θ

A × B

A·B = AB cos θ

AB sin θ

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37. Which is not a characteristic of scalar product?

Depends on cosine of angle

Directional

Results in scalar

Commutative

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

Sine

Tangent

Cosine

Secant

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39. Which of these equations represents a zero resultant?

2A

A – A

A + A

A + B

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40. The cross product of î and ĵ is:

–k̂

k̂

î

0

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

Newton’s law

Triangle law

Cosine law

Pythagorean theorem

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42. Which one is NOT a vector?

Velocity

Displacement

Force

Work

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

Infinite

Maximum

Zero

One

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

Cosine law

Pythagorean theorem

Newton’s law

Triangle law

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

14

12

8

10

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

–î

k̂

î

ĵ

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47. Which one is NOT a vector?

Force

Velocity

Displacement

Work

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48. Which of the following results in a scalar?

Velocity × time

Force × distance (same direction)

Acceleration × velocity

Displacement + displacement

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

Commutative

Always zero

No direction involved

Non-commutative

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50. In terms of unit vectors, î × î =

î

0

ĵ

1

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

√13

√25

7

5

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52. Which physical quantity is calculated using scalar product?

Magnetic force

Torque

Work

Angular momentum

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

Sine

Secant

Tangent

Cosine

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

Tangent θ

Sine θ

Cosine θ

Direction only

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

Joule

Newton

Newton-meter

Kilogram

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56. What does the dot product represent geometrically?

Volume

Area

Perpendicular height

Shadow/projection

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

They are parallel

They are anti-parallel

They are perpendicular

They form an angle of 60°

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

Pythagoras theorem

Ohm’s law

Law of sines

Law of cosines

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

Maximum

Infinite

Zero

One

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

Perpendicular

Parallel

Equal

Collinear

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61. What is the unit of scalar product?

Newton

No unit

Joule

Newton-meter²

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

Zero

AB sin 0° = 0

AB

A + B

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63. Which of the following represents a unit vector?

î + ĵ

î + 2ĵ

(1/√2)î + (1/√2)ĵ

2î

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

Work

Displacement

Torque

Power

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

Opposite to both vectors

In the plane of the vectors

Perpendicular to both vectors

Along one of the vectors

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

AB sin 0° = 0

Zero

A + B

AB

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

13

10

11

8

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

10 cos 30°

10

5

10 sin 30°

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

Subtraction

Addition

Cross product

Dot product

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

Scalar multiplication by –1

Taking dot product

Multiplying by scalar 1

Adding zero vector

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

Kilogram

Joule

Newton-meter

Newton

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72. Which of these equations represents a zero resultant?

2A

A + B

A – A

A + A

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

Same magnitude and direction

Opposite direction

Same direction, different magnitude

Perpendicular

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

Negative maximum

Positive maximum

Undefined

Zero

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

Random

Parallel

Perpendicular

Opposite

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