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+\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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+
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+\usepackage{xcolor}
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+\definecolor{xvectorcolor}{HTML}{77933C}
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+
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+\begin{document}
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+\begin{tikzpicture}
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+ \path (160:1) coordinate (X);
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+ \path ( 20:1) coordinate (Y);
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+ \path ( 80:1) coordinate (Z);
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+
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+ \draw (0,0) circle (1);
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+
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+ \fill[color=blue] (X) circle (2pt);
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+ \draw[blue] (X) node [right] {$x$};
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+
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+ \fill[color=blue] (Y) circle (2pt);
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+ \draw[blue] (Y) node [left] {$y$};
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+
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+ \fill[color=red] (Z) circle (2pt);
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+ \draw[red] (Z) node [below] {$z$};
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+\end{tikzpicture}
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+\end{document}
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