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

0°

90°

45°

180°

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

Opposite

Perpendicular

Random

Parallel

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

14

12

8

10

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

Opposite

Perpendicular

Random

Parallel

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

13

11

8

10

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

Positive maximum

Negative maximum

Undefined

Zero

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7. Which is not a characteristic of scalar product?

Results in scalar

Directional

Depends on cosine of angle

Commutative

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

180°

0°

60°

90°

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

Infinite

Zero

Maximum

One

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

Sine θ

Tangent θ

Direction only

Cosine θ

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

Cosine law

Vector addition

Left-hand rule

Right-hand rule

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

A + B

AB

AB sin 0° = 0

Zero

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

Vectors at 180°

Vectors at 0°

Vectors at 45°

Vectors at 90°

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

No direction involved

Non-commutative

Commutative

Always zero

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

Addition

Subtraction

Dot product

Cross product

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

Perpendicular

Opposite direction

Same magnitude and direction

Same direction, different magnitude

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19. Which physical quantity is calculated using scalar product?

Angular momentum

Magnetic force

Torque

Work

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

√25

√13

7

5

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21. Which one is NOT a vector?

Displacement

Work

Force

Velocity

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22. Which one is NOT a vector?

Velocity

Work

Displacement

Force

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23. Which of these equations represents a zero resultant?

A – A

2A

A + B

A + A

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

AB sin 0° = 0

AB

A + B

Zero

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

180°

0°

90°

45°

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

î

–î

k̂

ĵ

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

Newton-meter

Joule

Newton

Kilogram

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

Zero

Product of their magnitudes

A unit vector

Vector of same direction

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

Triangle law

Pythagorean theorem

Cosine law

Newton’s law

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

0

8

15

10

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

10

8

14

12

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33. What does the dot product represent geometrically?

Perpendicular height

Area

Shadow/projection

Volume

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

î

0

–6k̂

6k̂

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35. 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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36. Which of the following represents a unit vector?

î + 2ĵ

î + ĵ

2î

(1/√2)î + (1/√2)ĵ

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37. In terms of unit vectors, î × î =

1

î

0

ĵ

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

Kilogram

Newton

Joule

Newton-meter

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

10

10 sin 30°

10 cos 30°

5

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

Perpendicular

Parallel

Collinear

Equal

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41. The cross product of î and ĵ is:

î

k̂

0

–k̂

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

180°

90°

45°

0°

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

One

Zero

Maximum

Infinite

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

Cosine

Sine

Secant

Tangent

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

0°

180°

45°

90°

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

Newton’s law

Triangle law

Cosine law

Pythagorean theorem

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

A/cos θ

A sin θ

A cos θ

A tan θ

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

Power

Work

Displacement

Torque

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

Scalar multiplication by –1

Multiplying by scalar 1

Taking dot product

Adding zero vector

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

6k̂

0

î

–6k̂

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53. What does the dot product represent geometrically?

Area

Shadow/projection

Volume

Perpendicular height

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

Law of sines

Pythagoras theorem

Law of cosines

Ohm’s law

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

Polygon method

Rectangular components method

Triangle law

Parallelogram law

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

Infinite

Maximum

Unity

Zero

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57. 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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58. Which of the following determines direction of vector product?

Vector addition

Left-hand rule

Right-hand rule

Cosine law

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59. 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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60. Which mathematical operation gives a vector?

Division

Addition of scalars

Cross product

Scalar product

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

Tangent

Sine

Secant

Cosine

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

11

13

10

8

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

Zero

Negative

Equal to scalar product

Maximum

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64. Which is not a characteristic of scalar product?

Depends on cosine of angle

Directional

Commutative

Results in scalar

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

Parallel

Perpendicular

Equal

Collinear

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

Cosine θ

Tangent θ

Sine θ

Direction only

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

0

8

15

10

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68. Which of these equations represents a zero resultant?

A – A

A + B

A + A

2A

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69. What is the unit of scalar product?

Newton-meter²

Newton

Joule

No unit

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

Opposite to both vectors

Perpendicular to both vectors

In the plane of the vectors

Along one of the vectors

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71. Which of the following best defines vector product?

A × B = AB sin θ n̂

A·B = AB sin θ

A × B = AB cos θ

A·B = AB cos θ

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72. Which property holds true for vector product?

A × B = –B × A

A × B = 0

A × B = B × A

A × B = A·B

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73. Which of the following results in a scalar?

Velocity × time

Force × distance (same direction)

Acceleration × velocity

Displacement + displacement

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

k̂

–î

î

ĵ

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75. Which of the following represents a unit vector?

î + ĵ

(1/√2)î + (1/√2)ĵ

2î

î + 2ĵ

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