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math115: add perp function

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eggy 2022-10-02 20:02:24 -04:00
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@ -339,6 +339,13 @@ $$n_1x_1+n_2x_2 + n_3x_3 = n_1a+n_2b+n_3c$$
Please see [SL Math - Analysis and Approaches 2#Vector projections](/g11/mcv4u7/#vector-projections) for more information.
Similarly, the component of $\vec a$ in the direction **perpendicular to** $\vec b$ is related to the vector projection.
$$
Perp_{\vec b}\vec a = \vec a - Proj_{\vec b}\vec a \\
|Perp_{\vec b}\vec a = |\vec a|\sin\theta
$$
## Matrices
Please see [SL Math - Analysis and Approaches 2#Matrices](/g11/mcv4u7/#matrices) for more information.