Image: Dot product as projection of vectors
The dot product of vectors $\vc{a}$ and $\vc{b}$, when divided by the magnitude of $\vc{b}$, is the projection of $\vc{a}$ onto $\vc{b}$, i.e.,
$$\frac{\vc{a}\cdot \vc{b}}{\|\vc{b}\|} = \|\vc{a}\| \cos\theta,$$
where $\theta$ is the angle between $\vc{a}$ and $\vc{b}$.
Image file: dot_product_projection.png
Source image file: dot_product_projection.svg
Source image type: Inkscape SVG
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