# How is the scalar product of vectors related to work?

Jul 29, 2015

If a force $\vec{F}$ acts on a body and displaces it through $\vec{r}$ and the angle between the two vectors be $\theta$. The work done by the force is given as,
$W = \vec{F} \cdot \vec{r}$
$\implies W = F r C o s \theta$, where $F$ and $r$ are the magnitudes of $\vec{F}$ and $\vec{r}$ respectively.