Erste Grafik, Versuch eines Skripts, etc...

vektor_addition.tex

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+\documentclass[10pt]{article}
+\usepackage{pgf,tikz,pgfplots}
+\pgfplotsset{compat=1.15}
+\usepackage{mathrsfs}
+\usetikzlibrary{arrows}
+\pagestyle{empty}
+\begin{document}
+
+\begin{tikzpicture}[x=1cm,y=1cm]
+\begin{axis}[
+x=1cm,y=1cm,
+axis lines=middle,
+ymajorgrids=true,
+xmajorgrids=true,
+xmin=-0.5,
+xmax=7.5,
+ymin=-1,
+ymax=2.5,
+xtick={0,...,7},
+ytick={0,...,3},]
+\clip(-0.5327923283402358,-3.438438462661708) rectangle (7.550357053950259,3.4379509853468746);
+\draw [-latex,line width=1pt] (0,0) -- (5,0);
+\draw [-latex,line width=1pt] (0,0) -- (2,2);
+\draw [-latex,line width=1pt,color=red, dashed] (2,2) -- (7,2);
+\draw [-latex,line width=1pt,color=red, dashed] (5,0) -- (7,2);
+\draw [-latex,line width=1pt,color=blue] (0,0) -- (7,2);
+\begin{scriptsize}
+
+\draw[color=black] (2.55908371629915,-0.25) node {$\vec{y}$};
+
+\draw[color=black] (0.8,1.1993756042973518) node {$\vec{x}$};
+
+\draw[color=red] (4.315669182768639,2.3) node {$\vec{y}$};
+\draw[color=red] (6.45,1.142250873680458) node {$\vec{x}$};
+\draw[color=blue] (3.1,1.220797378278687) node {$\vec{x+y}$};
+\end{scriptsize}
+\end{axis}
+\end{tikzpicture}
+\end{document}