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added vector triangle inequality

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Martin Thoma 2012-09-14 19:59:14 +02:00
parent dd8dd8921e
commit 1cc5c656b2
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tikz/vector-triangle-inequality/vector-triangle-inequality.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{shapes, calc, shapes, arrows}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{tikzpicture}[]
% Punkte
\coordinate (A) at (0,0) {};
\coordinate (B) at (5,0) {};
\coordinate (C) at (2,2) {};
% Draw the triangle
\path[fill=blue!10, fill=blue!10] (A) -- (B) -- (C) -- (A);
\draw[->, very thick,fill=gray!10, green!80, arrows={-latex}] (A) -- (C) node[sloped,midway,above] {$x$};
\draw[->, very thick,fill=gray!10, blue!80, arrows={-latex}] (C) -- (B) node[sloped,midway,above] {$y$};
\draw[->, very thick,fill=gray!10, red!80, arrows={-latex}] (A) -- (B) node[sloped,midway,above] {$z = x + y$};
\coordinate (A) -- (B) node[sloped,midway,below] {$\|z\| = \|x+y\| \leq \|x\| + \|y\|$};
\end{tikzpicture}
\end{document}