Question

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

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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.