Question

How is the scalar product of vectors related to work?

Answer 1

Work done defined as the scalar product of the two vectors force and displacement.

Explanation:

If a force `vecF` acts on a body and displaces it through `vecr` and the angle between the two vectors be `theta`. The work done by the force is given as,

`W = vecF*vecr`
`implies W = FrCos theta`, where `F` and `r` are the magnitudes of `vecF` and `vecr` respectively.