Home/ECAT/ECAT Physics Vectors and Scalars Test Online

ECAT Physics Vectors and Scalars Test Online

Maan AliLast Updated: April 18, 2025

Our online practice exam, which focuses on ECAT Physics Vectors and Equilibrium Test Online, can help you get ready for the Engineering College Admission Test (ECAT). You can use this test to improve your knowledge of problems using vectors and equilibrium concepts. Two of the MCQs in our sample paper have in-depth explanations, allowing you to become familiar with the format and assess your knowledge of this particular subject. You can strengthen your understanding of vector ideas, equilibrium conditions, and how to use them to solve physics problems by working through our sample paper.

Physics Vectors and Scalars MCQS Online Test

ECAT Physics Vectors and Scalars Chapter Online Test

Total Questions:	82
Time Allowed:	60 Minutes
Total Marks:	82
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	ECAT Entry Test Physics Online Test Interview Questions about Physics All Universities Entrance Test Recruitments Tests

ECAT Physics Vectors and Scalars Test Online

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Physics

1. Rectangular coordinate system is also called

Polar coordinate system

Cartesian coordinate system

Cylindrical coordinate system

Spherical coordinate system

2. Addition of vector obeys

Commutative law

Distributive law

Associative law

All given laws in a, b and c

3. A vector can be multiplied by a number. The number may be

Dimensionless

Dimensional scalar

Negative

All of these

4. Null vector is a vector which has

Zero magnitude

No specified direction

Both a and b are correct

Both a and b are not correct

5. Which of the following is a Vector?

Energy

Power

Force

Mass

6. Which of the following is a vector?

Time

Work

Heat

Momentum

7. Which of the following is a scalar?

Elementary area

Kinetic energy

Weight of a body

Wind velocity

8. Which of the following is a scalar?

Electric field

Magnetic moment

Acceleration

Electrostatic Potential

9. Pressure is a:

A scalar

Axial vector

Polar vector

Neither scalar nor vector

10. For the resultant of two vectors to be maximum the angle between them should be:

Zero degree

60 degrees

90 degrees

180 degrees

11. The magnitudes of sets of three vectors of same type are given below. The resultant of which set cannot be zero?

10, 10, 10

10, 10, 20

10, 20, 10

10, 20, 40

12. Two forces of 6N and 8N can be applied to produce an effect of a single force of:

15N

11N

20N

13. A force has magnitude 20N. Its one rectangular component is 12N, the other rectangular component must be:

14N

16N

32N

14. The dimension of torque is

[ML²T¯²]

[MLT¯²]

[ML²T]

[ML¯²T¯²]

15. Torque acting on a body determines

Acceleration

Linear acceleration

Angular acceleration

Direction of motion of the body

16. A body is equilibrium

Always at rest

Always is uniform motion

May be at rest or in uniform motion

May be at rest or in motion

17. A body will be in complete equilibrium when it is satisfying:

1st condition of equilibrium

2nd condition of equilibrium

Both 1st and 2nd condition of equilibrium

Impossible

18. Which one is not a type of dynamic equilibrium?

Rotational equilibrium

Translational equilibrium

Static equilibrium

Both a and c are correct answer

19. Which of the following pairs does not have identical dimensions?

Torque and energy

Momentum and impulse

Energy and work

Mass and moment of inertia

20. A central force is that which

Can produce torque

Cannot produce torque

Sometime can produce torque some time cannot

Has no relation with torque

21. It is easier to turn of steering wheel with both hands than with a single hand because

Accelerating force increases on the wheel

Two forces act on the wheel

Two hands provide firm grip

Couple acts on the wheel

22. A scalar is a physical quantity which is completely specified by

Direction only

Magnitude only

Both magnitude and direction

None of these

23. Vectors are those physical quantities which requires

Magnitude

Magnitude and directions

Direction

None of these

24. Which of the following is a scalar quantity?

Density

Displacement

Torque

Weight

25. In accordance axes system, x and y axes are drawn by two lines that are

Parallel to each other

Perpendicular to each other

At 45 degree with each other

At 0 degree with each other

26. An axis which is at right angle to both X and Y axes and points in space is called

Unit vector axis

Zero vector axis

Z –axis

None of these

27. Two forces of 10N and 15N are acting simultaneously on an object in the same direction. Their resultant is

Zero

25N

150N

28. Negative of vector can be made when

Magnitude is zero

Directions is reserves with negative magnitude

Only direction is changed to right angle

None of these

29. If two non-zero vector A and B are parallel to each other, then A . B is equal to

Zero

A + B

A – B

30. When a vector is multiplied by a scalar, the product of the quantity will be

A new vector quantity

New direction

Same direction

A and C

31. The vector product of two vectors is zero, when

They are parallel to each other

They are equal vectors

They are perpendicular to each other

They are inclined at angle of 60°

32. If A. B = 0 and also A x B = 0 , then

A and B are perpendicular to each other

A and B are anti-parallel to each other

A and B are parallel to each other

Either A or B is a null vector

33. Position vector is a vector, which describes the

Location of a point with respect to origin

Location of a point with respect to any point

Location of a point with respect to some related point

None of these

34. Two vectors AB and BC act on point B at right angle to each other. The magnitude of their resultant is 13 and the magnitude of BC is 12, then the magnitude of AB is

35. The position vector in two dimensions is represented as

r = a i + b j

r = a j + b i

r = √a² + b²

A and C

36. The magnitude of the scalar product is

AB sin θ

AB cos θ

None of these

37. Which of the following may be the rectangular components of force 10 Newton’s?

6 and 8 New tons

2.5 and 25 New tons

2 and 5 New tons

3 and 5 New tons

38. When the scalar product of two vectors are parallel to each other than A.B is of

Maximum value

Minimum value

Zero

None of these

39. The position vector of a point in xz-plane is given by

r = x i + y j

r = y i + z k

r = x i + y j + zk

r = x i + zk

40. In right hand rule, the direction of the product vector will be

Along the thumb erect

Perpendicular to the erect thumb

Along the rotation of fingers

None of these

41. The rectangular components of a vector have angle between them

0°

90°

120°

60°

42. The cross product of j x k given by

-k

43. The dot product of two vectors is negative when

They are parallel vectors

They are perpendicular vectors

They are anti-parallel vectors

None of these

44. The self-product of two vectors in cross product is

Zero

Square of vector

Only same vector

None of these

45. Can the magnitude of a vector have a negative value

Yes

Yes in some cases

None of these

46. Two forces are acting together on an object. The magnitude of their resultant is of minimum value when the angle between the force is

0°

60°

120°

180°

47. Negative of vector can be made by

Taking absolute value

Making the direction reserves of axis

Reserving the direction

None of these

48. When a vector is multiplied by a scalar of positive value, the product of the quantity will be

Multiple of the vector quantity in the same direction

Multiple of the vector quantity in the opposite direction

Multiple of the vector quantity perpendicular to the original vector

None of these

49. Null vector may have

Specific direction

Any direction

Not A and B

None of these

50. Which of the following is the only vector quantity?

Temperature

Energy

Power

Momentum

51. Which of the following lists of physical quantities consists only of vectors?

Time, temperature, velocity

Force, volume, momentum

Velocity, acceleration, mass

Force, acceleration, velocity

52. The angle between rectangular components of a vector is

0°

60°

90°

120°

53. A force of 10N is acting along y-axis. Its component along x-axis is

10N

20N

100N

Zero N

54. Two forces of 10N and 15N are acting simultaneously on an object in the same direction. Their resultant is

Zero

25N

150N

55. If the dot product of two non-zero vectors vanishes, the vectors will be

In the same direction

Opposite to each other

Perpendicular to each other

Zero

56. It two non-zero vector A and B are parallel to each other, then A, B is equal to

Zero

A + B

A – B

57. The dot product of two vectors is negative when

They are parallel vectors

They are anti-parallel vectors

They are perpendicular vectors

None of these

58. The vector product of two non-zero vectors is zero, when

They are parallel to each other

They are perpendicular to each other

They are equal vectors

They are inclined at angle of 60°

59. If (a x b) points along positive z-axis, then the vectors a and b must lie in

yz-plane

zx-plane

xy-plane

None of these

60. Identify the vector quantity

Heat

Angular momentum

Time

Work

61. Which of the following quantities is a scalar?

Magnetic moment

Acceleration due to gravity

Electric field

Electrostatic potential

62. A boat which has a speed of 5 km/h in still water crosses a river of width 1 km along the shortest path in 15 minutes. The velocity of the river in km/s is:

√41

63. The magnitudes of vectors A, B and C are 3, 4 and 5 units respectively. If A + B = C, the angle between A and B is:

π/2

cos¯¹ 0.6

tan¯¹ 7/5

π/4

64. The angle between two vectors -2i + 3j + k and I + 2j – 4k is:

0°

90°

180°

None of these

65. The angle between A and B is θ. The value of the triple product A. (B x A) is:

A²B

Zero

A²B sin θ

A²B Cos θ

66. If two non-zero vectors A and B obey the relation |A + B| = |A – B|, then the angle between them is:

120°

90°

60°

0°

67. When body is in motion, ________ always changes.

Its velocity

Its acceleration

Its position vector

Its momentum

68. A body is moving with uniform velocity. Its

Speed changes

Acceleration changes

Direction of motion changes

Displacement from origin changes

69. A man is in a car is moving with velocity of 36km/hr. His speed with respect to the car is

10m/s

36m/s

Zero

Infinite

70. Inertia of an object is quantitative measure of its

Volume

Density

Mass

Temperature

71. The dimension of force is

MLT¯²

ML²T¯²

ML²T²

ML¯²T¯²

72. Which of the following pair has same direction always?

Force, displacement

Force, velocity

Force, acceleration

Force, momentum

73. Motorcycle safety helmet extends the time of collision hence decreasing the

Chance of collision

Force acting

Velocity

Impulse

74. Taking off rocket can be explained by

1st law of motion

2nd law of motion

Law of conservation of momentum

Law of conservation of energy

75. The thrust on the rocket in the absence of gravitational force of attraction is

Constant

Not constant

Constant if the rate of ejected gases is constant

Constant for short range rocket

76. Distance covered by a freely falling body in 2 seconds will be

4.9 m

19.6 m

39.2 m

44.1 m

77. Flight of a rocket in the space is an example of

Second law of motion

Third law of motion

First law of motion

Law of gravitation

78. Time rate of change of momentum is equal to

Force

Impulse

Velocity

Both A and C

79. Which of the following is not an example of projectile motion?

A gas filled balloon

Bullet fired from gun

A football kicked

A baseball shot

80. The trajectory (or path) of a projectile is

Straight line

Parabola

Hyperbola

Circle

81. At which angle the range of the projectile is maximum?

45°

60°

30°

None

82. The range of the projectile at 30? and 60? are

Equal to 45°

Equal to 90°

Equal to each other

None of these

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Maan AliLast Updated: April 18, 2025

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6 Comments

Hifz ur RehMan RODINE says:

July 11, 2017 at 8:18 am

Please correct It.
Can a vector have component greater than vectors value?
Ans. No
The magnitude of a vector can not have a component greater than its magnitude because the components of a vector is always less in magnitude of resultant vector. Only in case of equilateral triangle they are equal

Ayesha says:

November 30, 2016 at 10:43 am

Vectors component cannot have greater value than vector magnitude ..

1. Raja m usman says:
  
  July 28, 2017 at 11:40 am
  
  Yes
  I think you are right
  
ASSASSIN 786 says:

November 26, 2016 at 11:30 am

some answers are wrong

Yazdan Yazdan says:

April 2, 2016 at 8:04 pm

3rd time hahahah

Yazdan Yazdan says:

April 2, 2016 at 8:04 pm

please update the Mcqs

ECAT Physics Vectors and Scalars Test Online

Physics Vectors and Scalars MCQS Online Test

ECAT Physics Vectors and Scalars Chapter Online Test

ECAT Physics Vectors and Scalars Test Online

Physics

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Physics Vectors and Scalars MCQS Online Test

ECAT Physics Vectors and Scalars Chapter Online Test

ECAT Physics Vectors and Scalars Test Online

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