# Work

Math Analysis - Vectors - Application of Work

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## Key Questions

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

#### Explanation:

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.

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