Mathematics-Online lexicon: Triangle Inequality

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	Mathematics-Online lexicon:
	Triangle Inequality

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

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 $s \geq 0$ .

$\includegraphics[width=7.4cm]{a_dreiecksungleichung}$

automatically generated 3/28/2008