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Question

Is work done a scalar or a vector? W=F.s.

It should be a vector na??


Solution

It's defined as a dot-product (or scalar product) of force and displacement, both of which are vectors.

A scalar product of two vectors gives a scalar result .

dW=F⃗ ⋅S⃗ =∥F∥∥S∥cosθdW=F→⋅S→=‖F‖‖S‖cos⁡θ
(θθ being the angle between the vectors).

No direction, only magnitude.
so it is a scalar quantity

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