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Mathematics-Online course: Preparatory Course Mathematics - Linear Algebra and Geometry - 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 1/9/2017