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Mathematics-Online course: Vector Calculus - Planes

Intersection of Two Planes

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The smaller one, $ \varphi\in[0,\pi/2]$ , of the two angles between two planes with normal vectors $ \vec{n}_i$ is uniquely determined by

$\displaystyle \cos(\varphi) = \frac{\vert\vec{n}_1\cdot \vec{n}_2\vert} {\vert\vec{n}_1\vert\vert \vec{n}_2\vert} $

and

$\displaystyle \vec{n}_1\times\vec{n}_2 $

is the direction of the line of intersection.

\includegraphics[clip,width=.6\linewidth]{schnitt}

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  automatically generated 10/30/2007