Question

Classify the following as scalar and vector quantities
(i)Time Period
(ii) Distance
(iii)Force
(iv)Velocity
(v)Work done

Answer 1

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.