Answer
See the explanation below.
Work Step by Step
Let us consider two vectors $u$ and $v$. The length of the projection of the vector $u$ on $v$ multiplied by the length of the vector $v$ can be expressed by the formula:
$proj_v \ u =\dfrac{u \cdot v}{|v|^2} \ v$
The concept of the projection of one vector onto another vector can be thought of as the work done (W). This is because the work done (W) by an force (F) is equal to the dot product of the projection of that force in the direction of the distance (d).
