49 lines
1.7 KiB
Plaintext
49 lines
1.7 KiB
Plaintext
\begin{pspicture}(-4.8,-2.8)(7,4.5)
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%%%%%%%%%%%%Koordinaten%%%%%%%%%%%%%%%%%%
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\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
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\rput[c](6.5,0){$x$}
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\rput[c](0,4.2){$y$}
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%%%%%%%%%%%%%%Vektor a%%%%%%%%%%%%%%%%%%%%%
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\psline[linecolor=red, linewidth=1.5pt]{->}(0,0)(2,1)
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\rput[l](0.8, 0.75){\color{red}$\vec{a}$}
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\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](2,-0.2)(2,1)
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\rput[c](2, -0.6){\color{red}$a_1$}
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\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](-0.2,1)(2,1)
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\rput[c](-0.4,1){\color{red}$a_2$}
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%%%%%%%%%%%%%%%%%%%%%%%%Vektor * 3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\psline[linecolor=blue,linewidth=0.5pt,linestyle=dashed]{->}(0,0)(6,3)
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\rput[l](4, 1.7){\color{blue}$3\cdot\vec{a}$}
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\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](6,-0.2)(6,3)
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\rput[c](6, -0.6){\color{blue}$3\cdot a_1$}
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\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](-0.2,3)(6,3)
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\rput[c](-0.4,3){\color{blue}$3\cdot a_2$}
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\rput[l](1,4){\color{blue}$k>0$: Strecken/Stauchen um Faktor k}
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\rput[l](1,3.6){\color{blue}\underline{hier: $k=3$}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor * -2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\psline[linecolor=green,linewidth=0.5pt]{->}(0,0)(-4,-2)
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\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](-4,0.2)(-4,-2)
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\rput[c](-4, 0.4){\color{green}$-2\cdot a_1$}
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\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](0.2,-2)(-4,-2)
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\rput[c](0.8, -2){\color{green}$-2\cdot a_2$}
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\rput[l](-4,2){\color{green}$k<0$: Richtung ändern}
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\rput[l](-4,1.6){\color{green}und Strecken/Stauchen um}
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\rput[l](-4,1.2){\color{green}Faktor $-k$}
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\rput[l](-4,0.8){\color{green}\underline{hier: $-k=2$}}
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\end{pspicture}
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