\begin{definition}[Definition:Scalar Projection/Definition 3]
Let $\mathbf u$ and $\mathbf v$ be vector quantities.
The '''scalar projection of $\mathbf u$ onto $\mathbf v$''' is defined and denoted:
:$u_{\parallel \mathbf v} = \mathbf u \cdot \mathbf {\hat v}$
where:
:$\cdot$ denotes the dot product
:$\mathbf {\hat v}$ denotes the unit vector in the direction of $\mathbf v$.
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\end{definition}