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 vectors is perpendicular to both î and ĵ?

–î

k̂

î

ĵ

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

Joule

Kilogram

Newton-meter

Newton

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

10

8

14

12

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

5

√13

√25

7

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

Tangent

Sine

Cosine

Secant

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

90°

0°

45°

180°

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

Negative maximum

Positive maximum

Undefined

Zero

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

90°

45°

180°

0°

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

–6k̂

0

î

6k̂

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11. Which of these equations represents a zero resultant?

2A

A + A

A – A

A + B

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12. 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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13. 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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14. What is the direction of the vector product of two vectors?

In the plane of the vectors

Along one of the vectors

Perpendicular to both vectors

Opposite to both vectors

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

Left-hand rule

Cosine law

Vector addition

Right-hand rule

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

Cosine law

Newton’s law

Pythagorean theorem

Triangle law

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17. What does the dot product represent geometrically?

Area

Perpendicular height

Shadow/projection

Volume

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

Perpendicular

Same direction, different magnitude

Opposite direction

Same magnitude and direction

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

Vectors at 0°

Vectors at 45°

Vectors at 90°

Vectors at 180°

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

10

5

10 sin 30°

10 cos 30°

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

Dot product

Cross product

Addition

Subtraction

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22. What does the dot product represent geometrically?

Area

Volume

Shadow/projection

Perpendicular height

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

Equal

Perpendicular

Parallel

Collinear

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

tan⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

sin⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

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

A unit vector

Vector of same direction

Product of their magnitudes

Zero

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

tan⁻¹(Rx/Ry)

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

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28. 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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29. Which of the following represents a unit vector?

(1/√2)î + (1/√2)ĵ

2î

î + ĵ

î + 2ĵ

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

Ohm’s law

Law of sines

Law of cosines

Pythagoras theorem

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

Parallel

Perpendicular

Random

Opposite

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

0°

45°

180°

90°

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

11

8

13

10

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

Newton’s law

Triangle law

Cosine law

Pythagorean theorem

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

î

0

–6k̂

6k̂

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37. Which one is NOT a vector?

Velocity

Force

Work

Displacement

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

13

11

8

10

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

Joule

Newton

Kilogram

Newton-meter

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40. In terms of unit vectors, î × î =

0

ĵ

1

î

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

Equal to scalar product

Zero

Maximum

Negative

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

0

10

15

8

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43. Which physical quantity is calculated using scalar product?

Magnetic force

Torque

Work

Angular momentum

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44. Which is not a characteristic of scalar product?

Results in scalar

Commutative

Directional

Depends on cosine of angle

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45. What is the unit of scalar product?

Newton-meter²

Joule

Newton

No unit

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

Cosine

Tangent

Sine

Secant

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

It gives a vector as result

It is affected by the direction only

It results in a scalar quantity

It is equal to AB sin θ

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

10

0

15

8

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

Parallel

Random

Opposite

Perpendicular

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

Adding zero vector

Multiplying by scalar 1

Scalar multiplication by –1

Taking dot product

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51. Which of these equations represents a zero resultant?

A + B

A – A

2A

A + A

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52. 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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53. 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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54. Which is not a characteristic of scalar product?

Results in scalar

Commutative

Depends on cosine of angle

Directional

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

Infinite

Zero

One

Maximum

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

No direction involved

Commutative

Always zero

Non-commutative

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

Infinite

Zero

One

Maximum

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58. Which mathematical operation gives a vector?

Cross product

Scalar product

Division

Addition of scalars

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

Zero

AB sin 0° = 0

AB

A + B

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

Zero

A + B

AB

AB sin 0° = 0

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

Tangent θ

Sine θ

Direction only

Cosine θ

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

10

12

8

14

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64. Which of the following represents a unit vector?

2î

(1/√2)î + (1/√2)ĵ

î + ĵ

î + 2ĵ

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

k̂

î

–î

ĵ

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

45°

180°

0°

90°

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

Displacement

Power

Torque

Work

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

AB sin θ

A × B

A·B = AB cos θ

AB tan θ

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

60°

0°

180°

90°

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70. The cross product of î and ĵ is:

î

k̂

–k̂

0

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

Vector addition

Left-hand rule

Right-hand rule

Cosine law

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72. Which one is NOT a vector?

Work

Velocity

Displacement

Force

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

Infinite

Maximum

Unity

Zero

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

Perpendicular

Equal

Collinear

Parallel

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75. Which of the following results in a scalar?

Acceleration × velocity

Force × distance (same direction)

Velocity × time

Displacement + displacement

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