Dot Product/Examples/Work Done

Examples of Dot Product
Let $\mathbf F$ represent a force acting on a body $B$.

Let $\mathbf d$ denote the displacement effected on $B$ by $\mathbf F$.

Then the work done by $\mathbf F$ on $B$ is given by:
 * $W = \mathbf F \cdot \mathbf d = \norm {\mathbf F} \norm {\mathbf d} \cos \theta$

where:
 * $\cdot$ denotes dot product
 * $\theta$ is the angle between the directions of $\mathbf F$ and $\mathbf d$.