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+\documentclass{article}
+\usepackage{german}
+\begin{document}
+$\alpha\vec{x} = \vec{x}\alpha$,\hfill$\alpha\beta\vec{x}
+= \beta\alpha\vec{x}$,\hfill$(\alpha + \beta)\vec{x} = \alpha\vec{x} +
+\beta\vec{x}$,\hfill $\alpha(\vec{x} + \vec{y})
+= \alpha\vec{x} + \alpha\vec{y}$\\
+\hspace*{1.5em}$\vec{x}\vec{y} = \vec{y}\vec{x}$\hfill
+aber\hfill$\vec{x}\times\vec{y} =
+-\vec{y}\times\vec{x}$,\hfill\hfill$\vec{x}\vec{y} = 0$\hfill falls\hfill%
+$\vec{x}\perp\vec{y}$,\hfill\hfill$\vec{x}\times\vec{y} = 0$,\hfill
+falls\hfill$\vec{x}\parallel\vec{y}$
+\end{document}
+