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Mathematics-Online course: Vector Calculus - Scalar Product

Angle

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Given two vectors $ \vec{a},\vec{b}\ne\vec{0}$ . The associated arrows, attached with their tails to a given point (vertex), form two angels of which the smaller one is denoted by

$\displaystyle \sphericalangle(\vec{a},\vec{b}) \in [0,\pi]\,. $

\includegraphics[width=.3\linewidth]{a_winkel}

The two vectors are called orthogonal, $ \vec{a}\perp\vec{b}$ , if the angle between them equals $ \pi/2$ . By convention, the zero vector is orthogonal to every vector.

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  automatically generated 10/30/2007