sir/mam please tell me why work has only magnitude but no direction with examples..

Work = Force x Displacement

Hence work is the scalar product (dot product) of two vector quantities force and displacement.

Dot product of two vector quantities always gives a scalar quantity and scalar quantity has only magnitude not direction.

 

So work done is a scalar quantity. It does not have its own direction.

The direction of work is decided by the direction of force and displacement.

• when the direction of force applied is in the direction of displacement then the work done is positive.
• when the direction of force applied is opposite to the direction of displacement the work done is negative.
• when the direction of force applied is perpendicular to the direction of displacement then work done is 0 because at 90 degree cos=0.