Question

State whether the given statement is true or false.
A quantity which can be represented completely by magnitude only, is called a vector quantity.
A. True
B. False

Answer 1

To answer this question, we first need to understand what are vectors and quantities. We need to differentiate between them on the basis of their properties and features they provide to a quantity.

Complete answer:
Scalar quantity: A scalar quantity can be defined as a physical quantity that has only magnitude and no direction. The examples can be distance, speed, mass, area, volume, density and electric charge. Contrary to the vector quantities, scalar quantities are mentioned without an arrow over the letter used to indicate them.

Vector quantity: A vector quantity is the one that has both magnitude as well as direction. The examples of vector quantities can be linear momentum, acceleration, displacement, angular velocity, force, electric field, etc. Vector quantities are mentioned with an arrow over the letter used to indicate them.

A vector quantity that has magnitude equal to unity and some direction is called a unit vector. Unit vectors are represented with a hat over the letter used to indicate them. In the above question, we can easily understand that the question describes a quantity with only magnitude, so it points towards a scalar quantity, not a vector quantity.

Hence, the correct answer is option B.

Note: Scalar and vector quantities are an integral part of basic physics and mathematics. It is important to understand these concepts as they have practical applications. It should also be known that basic arithmetic operations such as addition and subtraction are performed differently on these quantities.