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23 lines
858 B
TeX
23 lines
858 B
TeX
\documentclass[varwidth=true, border=2pt]{standalone}
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\usepackage{tikz}
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\usetikzlibrary{shapes, calc, shapes, arrows}
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\usepackage{amsmath,amssymb}
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\begin{document}
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\begin{tikzpicture}[]
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% Punkte
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\coordinate (A) at (0,0) {};
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\coordinate (B) at (5,0) {};
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\coordinate (C) at (2,2) {};
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% Draw the triangle
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\path[fill=blue!10, fill=blue!10] (A) -- (B) -- (C) -- (A);
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\draw[->, very thick,fill=gray!10, green!80, arrows={-latex}] (A) -- (C) node[sloped,midway,above] {$x$};
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\draw[->, very thick,fill=gray!10, blue!80, arrows={-latex}] (C) -- (B) node[sloped,midway,above] {$y$};
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\draw[->, very thick,fill=gray!10, red!80, arrows={-latex}] (A) -- (B) node[sloped,midway,above] {$z = x + y$};
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\coordinate (A) -- (B) node[sloped,midway,below] {$\|z\| = \|x+y\| \leq \|x\| + \|y\|$};
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\end{tikzpicture}
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\end{document}
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