# Classify the following as scalar and vector quantities

(i)Time Period

(ii) Distance

(iii)Force

(iv)Velocity

(v)Work done

Answer

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328.2k+ views

Hint: Scalar is a quantity which has only magnitude whereas vector is a quantity

which has both magnitude and direction.

(i) Time Period-Time period has only magnitude and no specific direction. So it is a scalar

quantity

(ii) Distance-Distance is a quantity which has only magnitude and does not have any specific

direction. So it is a scalar quantity

(iii) Force-Force is a vector quantity because force has both magnitude and direction i.e. in

force, also the direction in which the force is acting is defined along with magnitude

(iv)Velocity-Velocity is a vector because it is defined as the rate of change of displacement in

a given direction. It has both magnitude and direction. So, it is a vector

(v)Work done-Work done is defined as the dot product of Force and Displacement. Force and

displacement are vector quantities and the dot product of two vector quantities will always

be a scalar. So, therefore work done is a scalar quantity.

Note: Scalar product or dot product of any two vector quantities will always be a scalar.

which has both magnitude and direction.

(i) Time Period-Time period has only magnitude and no specific direction. So it is a scalar

quantity

(ii) Distance-Distance is a quantity which has only magnitude and does not have any specific

direction. So it is a scalar quantity

(iii) Force-Force is a vector quantity because force has both magnitude and direction i.e. in

force, also the direction in which the force is acting is defined along with magnitude

(iv)Velocity-Velocity is a vector because it is defined as the rate of change of displacement in

a given direction. It has both magnitude and direction. So, it is a vector

(v)Work done-Work done is defined as the dot product of Force and Displacement. Force and

displacement are vector quantities and the dot product of two vector quantities will always

be a scalar. So, therefore work done is a scalar quantity.

Note: Scalar product or dot product of any two vector quantities will always be a scalar.

Last updated date: 26th May 2023

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