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Mathematics-Online course: Vector Calculus - Vectors

Triangle Inequality


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For the sum of two vectors the following holds:

$\displaystyle \vert\vec{a}+\vec{b}\vert \le \vert\vec{a}\vert + \vert\vec{b}\vert\,.
$

We have equality if and only if $ \vec{a}$ and $ \vec{b}$ are parallel, that is $ \vec{a}=s\vec{b}$ with $ s \geq 0$ .
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  automatically generated 10/30/2007