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:

180°

0°

45°

90°

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

Cross product

Addition

Dot product

Subtraction

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

Perpendicular

Parallel

Random

Opposite

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

Left-hand rule

Right-hand rule

Cosine law

Vector addition

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5. Which of these equations represents a zero resultant?

A + B

2A

A + A

A – A

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

90°

180°

45°

0°

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

Direction only

Tangent θ

Cosine θ

Sine θ

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

14

10

8

12

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

Newton-meter

Newton

Joule

Kilogram

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

î

ĵ

k̂

–î

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13. 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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14. Which one is NOT a vector?

Velocity

Work

Force

Displacement

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

A cos θ

A tan θ

A/cos θ

A sin θ

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16. In terms of unit vectors, î × î =

ĵ

1

î

0

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

A·B = AB cos θ

AB sin θ

AB tan θ

A × B

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

Direction only

Tangent θ

Sine θ

Cosine θ

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19. What is the unit of scalar product?

Newton

Joule

No unit

Newton-meter²

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20. Which mathematical operation gives a vector?

Addition of scalars

Division

Scalar product

Cross product

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

Zero

Negative maximum

Positive maximum

Undefined

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

Triangle law

Pythagorean theorem

Newton’s law

Cosine law

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

10

15

8

0

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

A + B

AB sin 0° = 0

Zero

AB

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25. What does the dot product represent geometrically?

Volume

Shadow/projection

Perpendicular height

Area

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26. Which of the following represents a unit vector?

î + 2ĵ

2î

î + ĵ

(1/√2)î + (1/√2)ĵ

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

Equal

Perpendicular

Parallel

Collinear

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

Zero

Maximum

Unity

Infinite

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29. Which is not a characteristic of scalar product?

Depends on cosine of angle

Directional

Commutative

Results in scalar

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

10

12

14

8

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31. Which is not a characteristic of scalar product?

Commutative

Depends on cosine of angle

Results in scalar

Directional

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

60°

180°

0°

90°

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33. The cross product of î and ĵ is:

k̂

–k̂

î

0

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

Perpendicular

Parallel

Opposite

Random

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

Work

Displacement

Torque

Power

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

Zero

One

Maximum

Infinite

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

Vectors at 45°

Vectors at 90°

Vectors at 180°

Vectors at 0°

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

k̂

ĵ

–î

î

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

It is equal to AB sin θ

It gives a vector as result

It results in a scalar quantity

It is affected by the direction only

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

Opposite direction

Same direction, different magnitude

Perpendicular

Same magnitude and direction

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

î

6k̂

–6k̂

0

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

Maximum

Infinite

One

Zero

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44. Which of the following best defines vector product?

A × B = AB cos θ

A × B = AB sin θ n̂

A·B = AB cos θ

A·B = AB sin θ

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

45°

0°

90°

180°

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46. Which one is NOT a vector?

Force

Displacement

Velocity

Work

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

Ohm’s law

Pythagoras theorem

Law of sines

Law of cosines

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48. Which of these equations represents a zero resultant?

2A

A + B

A + A

A – A

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

Sine

Secant

Cosine

Tangent

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

Newton-meter

Joule

Newton

Kilogram

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51. What does the dot product represent geometrically?

Shadow/projection

Volume

Perpendicular height

Area

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52. Which of the following results in a scalar?

Acceleration × velocity

Displacement + displacement

Velocity × time

Force × distance (same direction)

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

8

0

15

10

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

Secant

Cosine

Tangent

Sine

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

13

10

8

11

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56. Which of the following represents a unit vector?

(1/√2)î + (1/√2)ĵ

î + ĵ

2î

î + 2ĵ

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

In the plane of the vectors

Along one of the vectors

Opposite to both vectors

Perpendicular to both vectors

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

Always zero

No direction involved

Commutative

Non-commutative

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

Parallel

Perpendicular

Equal

Collinear

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

Zero

A + B

AB sin 0° = 0

AB

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

10 sin 30°

5

10

10 cos 30°

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

Negative

Equal to scalar product

Maximum

Zero

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64. Which physical quantity is calculated using scalar product?

Torque

Magnetic force

Work

Angular momentum

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

8

11

13

10

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

Rectangular components method

Triangle law

Parallelogram law

Polygon method

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67. Which property holds true for vector product?

A × B = B × A

A × B = –B × A

A × B = A·B

A × B = 0

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

Right-hand rule

Vector addition

Cosine law

Left-hand rule

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

0

–6k̂

î

6k̂

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

cos⁻¹(Rx/Ry)

sin⁻¹(Rx/Ry)

tan⁻¹(Ry/Rx)

tan⁻¹(Rx/Ry)

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

0°

90°

180°

45°

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

5

√25

√13

7

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

A unit vector

Vector of same direction

Zero

Product of their magnitudes

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

Pythagorean theorem

Triangle law

Newton’s law

Cosine law

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

Multiplying by scalar 1

Adding zero vector

Taking dot product

Scalar multiplication by –1

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