How do I find the orthogonal vector projection of vec{a}→a onto vec{b}→b?

1 Answer
Wataru
Dec 3, 2014

The orthogonal projection of vec{a}→a onto vec{b}→b can be found by

(vec{a} cdot vec{b}/{|vec{b}|}){vec{b}}/{|vec{b}|}={vec{a} cdot vec{b}}/{|vec{b}|^2} vec{b}⎛⎜ ⎜ ⎜⎝→a⋅→b∣∣∣→b∣∣∣⎞⎟ ⎟ ⎟⎠→b∣∣∣→b∣∣∣=→a⋅→b∣∣∣→b∣∣∣2→b

I hope that this was helpful.

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