Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Vector Calculus - Vectors

Triangle Inequality

[previous page] [next page] [table of contents][page 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}

[previous page] [next page] [table of contents][page overview]
  automatically generated 10/30/2007