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