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Mathematics-Online course: Preparatory Course Mathematics - Linear Algebra and Geometry - Lines and Planes

Intersection of 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}

(temporary unavailable)

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  automatically generated 1/9/2017