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Test: Scalars and Vectors - ACT MCQ


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10 Questions MCQ Test Physics for ACT - Test: Scalars and Vectors

Test: Scalars and Vectors for ACT 2024 is part of Physics for ACT preparation. The Test: Scalars and Vectors questions and answers have been prepared according to the ACT exam syllabus.The Test: Scalars and Vectors MCQs are made for ACT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Scalars and Vectors below.
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Test: Scalars and Vectors - Question 1

The operation which does not give you a vector as an output from two vector inputs is ______

Detailed Solution for Test: Scalars and Vectors - Question 1

Vector addition and subtraction give a vector as the output. Cross product also gives a vector as the output. Only Dot product gives a scalar after acting on two vectors.

Test: Scalars and Vectors - Question 2

Mass is a ____

Detailed Solution for Test: Scalars and Vectors - Question 2

Mass represents the amount of matter in a body. It does not have any direction but only mass. Hence, it is a scalar quantity.

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Test: Scalars and Vectors - Question 3

Which one of the following operations is valid?

Detailed Solution for Test: Scalars and Vectors - Question 3

Only operations valid for vector with scalars are multiplication and division. A vector can be multiplied or divided by a scalar. Other operations like addition and subtraction are not valid for vectors with scalars.

Test: Scalars and Vectors - Question 4

What is a scalar?

Detailed Solution for Test: Scalars and Vectors - Question 4

A scalar quantity is one which only has a magnitude. Examples of scalar quantities are mass, volume, work, energy etc.

Test: Scalars and Vectors - Question 5

The operation used to obtain a scalar from two vectors is ______

Detailed Solution for Test: Scalars and Vectors - Question 5

Dot product of two vectors gives a scalar quantity as the output. Cross product gives a vector as the output. It is also known as scalar product.

Test: Scalars and Vectors - Question 6

The vector obtained by addition of two vectors is termed as ______

Detailed Solution for Test: Scalars and Vectors - Question 6

The resultant vector is the vector which is obtained by the addition or subtraction of two vectors. The resultant vector can either be calculated by using the graphical method or the analytical method.

Test: Scalars and Vectors - Question 7

What is a vector quantity?

Detailed Solution for Test: Scalars and Vectors - Question 7

A vector quantity is one which has both magnitude and direction. Unlike scalars, it can also tell the direction in which is the entity is acting. Examples of vector quantities are force, velocity, displacement etc.

Test: Scalars and Vectors - Question 8

Which of the following is a scalar quantity in engineering mechanics?

Detailed Solution for Test: Scalars and Vectors - Question 8

Scalar Quantity:

  • It is a physical quantity which have only magnitude.
  • It is totally described by a magnitude or numerical value.
  • It does not have any directions.
  • It is a measure of quantity.
  • Multiplication of two scalar quantity would also give scalar quantity.
  • Example: mass, speed, time, energy, density, volume, work, moment of inertia, etc.

Vector Quantity:

  • It is a quantity which has both magnitude and direction.
  • Example: a man traveling with a velocity of 20 km/hr in the north direction.
  • Examples of vector quantity are Displacement, momentum, Force, velocity, etc.
Test: Scalars and Vectors - Question 9

Which of the following measures as vector quantity?

Detailed Solution for Test: Scalars and Vectors - Question 9

Concept:

  • Vector Quantity: Physical quantities that have magnitude and direction and obey triangle law are called vector quantities.
  • Example: Displacement, Velocity, etc.

Additional Information 

  • The velocity of a moving object is defined as the displacement of the object in the unit time interval.
  • It is a vector quantity and its SI unit is meter/second.
  • Acceleration of an object is defined as the rate of change of velocity of the object.
  • It is a vector quantity and its SI unit is (m/s2)
  • ∴ The correct answer is 20 m/s2.
Test: Scalars and Vectors - Question 10

Select the CORRECT option from the following.

Detailed Solution for Test: Scalars and Vectors - Question 10

All physical quantities are classified into two types:

Scalar Quantity:

  • A physical quantity having magnitude only is called scalar quantity. They have numerical value only and these quantities do not specify the direction
  • Example: Length, Time, Speed, Mass, Density, Pressure, Temperature, Energy, Work, Power

Vector quantity:

  • A physical quantity having both magnitude and direction is called vector quantities. It is represented by a straight line with an arrowhead
  • Example: Displacement, Velocity, Acceleration, Force, Momentum, Weight
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