Mathematics-Online lexicon: Intersection of Two Planes

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	Mathematics-Online lexicon:
	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.

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

see also:

automatically generated 3/28/2008