\begin{pspicture}(-4.8,-2.8)(7,4.5)
 
 %%%%%%%%%%%%Koordinaten%%%%%%%%%%%%%%%%%%
\psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(-4.5,-2.5)(6.3,4)%Schnittpunkt, x0, y0   x1,y1
	\rput[c](6.5,0){$x$} 
	\rput[c](0,4.2){$y$} 
	
	
%%%%%%%%%%%%%%Vektor a%%%%%%%%%%%%%%%%%%%%%
\psline[linecolor=red, linewidth=1.5pt]{->}(0,0)(2,1)
\rput[l](0.8, 0.75){\color{red}$\vec{a}$}

\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](2,-0.2)(2,1)
\rput[c](2, -0.6){\color{red}$a_1$}

\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](-0.2,1)(2,1)
\rput[c](-0.4,1){\color{red}$a_2$}

%%%%%%%%%%%%%%%%%%%%%%%%Vektor * 3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\psline[linecolor=blue,linewidth=0.5pt,linestyle=dashed]{->}(0,0)(6,3)
\rput[l](4, 1.7){\color{blue}$3\cdot\vec{a}$}
	
\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](6,-0.2)(6,3)
\rput[c](6, -0.6){\color{blue}$3\cdot a_1$}

\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](-0.2,3)(6,3)
\rput[c](-0.4,3){\color{blue}$3\cdot a_2$}

\rput[l](1,4){\color{blue}$k>0$: Strecken/Stauchen um Faktor k}
\rput[l](1,3.6){\color{blue}\underline{hier: $k=3$}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor * -2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%	
\psline[linecolor=green,linewidth=0.5pt]{->}(0,0)(-4,-2)

\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](-4,0.2)(-4,-2)
\rput[c](-4, 0.4){\color{green}$-2\cdot a_1$}

\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](0.2,-2)(-4,-2)
\rput[c](0.8, -2){\color{green}$-2\cdot a_2$}
	
	
\rput[l](-4,2){\color{green}$k<0$: Richtung ändern}
\rput[l](-4,1.6){\color{green}und Strecken/Stauchen um}
\rput[l](-4,1.2){\color{green}Faktor $-k$}
\rput[l](-4,0.8){\color{green}\underline{hier: $-k=2$}}
	
	 \end{pspicture}