Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

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 overview

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}

see also:


  automatically generated 3/28/2008