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Mathematics-Online course: Vector Calculus - Lines

Momentum Form

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The points $ X$ on a line through $ P$ in direction $ \vec{u}$ can be described by

$\displaystyle \overrightarrow{PX}\times \vec{u} = \vec{0} \,. $

\includegraphics[width=12cm]{a_momentenform_bild}

Correspondingly, we have

$\displaystyle \vec{x}\times\vec{u} = \vec{c},\quad \vec{c} = \vec{p}\times\vec{u}\, . $

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  automatically generated 10/30/2007