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2dgrafiken/01_1_2.pst

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+\psline[linewidth=0.5pt,linecolor=orange](0.5,0.5)(0.375,0.7165)
+
+%Kreuz links
+%Grundkreuz vier Einzellinien
+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.5,1.35)
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+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.25,1.1)
+%re o
+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.2835,1.225)
+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.375,1.3165)
+%re u
+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.2835,0.975)
+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.375,0.8835)
+%li u
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+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.625,0.8835)
+%li o
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+\psline[linewidth=0.5pt,linecolor=orange](-0.5,1.1)(-0.625,1.3165)
+
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+
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+\rput[c](-0.75,0.65375){$\cdot$}
+\rput[c](-0.5,0.5025){$\cdot$}
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+\rput[l](1.7,-0.55){\tiny{bis $m$\\(falls}}
+\rput[l](1.7,-0.8){\tiny{$r<m$)}}
+
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+
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+\rput[c](0.5,-2.0){\tiny{$r<n$)}}
+
+
+\end{pspicture}%}

2dgrafiken/08_1_1.pst

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2dgrafiken/08_1_2.pst

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+
+
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2dgrafiken/08_1_3.pst

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+
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+\rput[c](0.25,0.05){\color{red}\tiny{-}}
+\rput[l](0.1,0.6)
+{$\left(
+         \begin{array}{cc}
+           a_{11} & a_{12} \\
+           a_{21} & a_{22} \\
+         \end{array}
+       \right)
+$}
+
+\end{pspicture}%}

2dgrafiken/09_2_1.pst

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+
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+
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+
+
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+
+\rput[l](5.5,0.8){\fbox{Vorsicht!}}
+
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+
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2dgrafiken/09_2_2.pst

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+
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+
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+    \vdots  & {} &  \vdots  &  \vdots  &  \vdots  & {} &  \vdots   \\
+   {a_{n,1} } &  \cdots  & {a_{n,j - 1} } & {b_n } & {a_{n,j + 1} } &  \cdots  & {a_{n,n} }  \\
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2dgrafiken/10_1_1.pst

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2dgrafiken/10_2_1.pst

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+
+
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+
+
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2dgrafiken/11_1_1.pst

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+%\rput[bl](0,4.2){$\underbrace{\text{bottom, left}}$}
+
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+
+
+
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2dgrafiken/11_1_2.pst

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+
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+
+
+
+

2dgrafiken/14_2.pst

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2dgrafiken/2dgrafiken.tcp

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2dgrafiken/2dgrafiken.tex

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+\usepackage[T1]{fontenc}
+\usepackage{pst-all}
+\usepackage{pst-eps}
+\usepackage{pst-node}
+\usepackage{pst-pdf}
+\usepackage{pstricks-add}
+\usepackage{multido}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{microtype,ellipsis,fixltx2e,mparhack}
+\usepackage{amssymb}
+
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+
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+\newrgbcolor{darkyellow}{1 0.9 0}
+\newrgbcolor{orange}{1 0.5 0}
+
+
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+%\fbox{
+
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+\input{01_1_3.pst}%}
+%\input{multidotest.pst}}
+
+\end{document}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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2dgrafiken/AdditionVektorenInEbene.pst

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2dgrafiken/Aufgabe0001.pst

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2dgrafiken/Aufgabe006.pst

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2dgrafiken/Aufgabe006.pst.sav

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2dgrafiken/Aufgabe010.pst

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2dgrafiken/Aufgabe011.pst

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2dgrafiken/Aufgabe011.pst.sav

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+%ticks=none,labels=none]{->}(

2dgrafiken/Aufgabe019.pst

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+%ticks=none,labels=none]{->}(

2dgrafiken/Aufgabe026.pst

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+%%http://sites.inka.de/picasso/latex.html
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+
+%ticks=none,labels=none]{->}(

2dgrafiken/Aufgabe029.pst

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+%%http://sites.inka.de/picasso/latex.html
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+%ticks=none,labels=none]{->}(

2dgrafiken/Aufgabe037.pst

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2dgrafiken/Aufgabe045.pst

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2dgrafiken/Aufgabe051.pst

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+%\rput[c](3.5,1.5){$R_2$}
+%\rput[c](6.3,1.5){$U_2$}
+%\rput[c](-0.3,1.5){$U_1$}
+%\rput[c](3,-0.3){$A$}
+%\rput[c](2.3,-0.3){$I_3$}
+%\pscircle[linewidth=0.4pt](4.5,1.5){0.3}
+%\rput[c](4.5,1.5){II}
+%\pscircle[linewidth=0.4pt](1.5,1.5){0.3}
+%\rput[c](1.5,1.5){I}
+\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0.5,1.15)(0.5,1.35)
+%\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{<-}(3.6,0)(3.8,0)
+%\psline[linewidth=0.2pt,arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(3,0.6)(3,0.4)
+%\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(0,2.8)(0,0.2)
+%\psline[linewidth=0.3pt,linestyle=dashed, arrowsize=1.5mm,arrowlength=1.5,arrowinset=0.3]{->}(6,2.8)(6,0.2)
+%\psline[linewidth=0.2pt](1.5,0)(4.5,0)
+%\psline[linewidth=0.2pt]{-o}(5.5,0)(6,0)%0.2
+%\psline[linewidth=0.2pt]{o-o}(0,3)(6,3)%0.2
+%\psline[linewidth=0.2pt]{o-}(0,0)(0.5,0)%0.2
+%\psline[linewidth=0.2pt](3,0)(3,1)
+%\psline[linewidth=0.2pt](3,2)(3,3)
+%\pscircle[linewidth=0.2pt,fillstyle=solid, fillcolor=black ](3,0){0.035}
+%\pscircle[linewidth=0.2pt,fillstyle=solid, fillcolor=black ](3,3){0.035}
+
+\end{pspicture}%}
+%%http://sites.inka.de/picasso/latex.html
+
+
+%ticks=none,labels=none]{->}(

2dgrafiken/Aufgabe122.pst

@@ -0,0 +1,29 @@
+\psset{xunit=2cm, yunit=2cm}
+%\psframebox{
+\begin{pspicture}(-1.6,-0.5)(1.6,2)
+%\psgrid[%griddots=20,
+%gridlabels=0pt, subgriddiv=10](-1.6,-0.5)(1.6,2)
+\psset{plotpoints=200}
+\psaxes[linecolor=red,%ticks=none,
+ticks=x,
+labels=none
+]{->}(0,0)(-1.5,-0.1)(1.5,2) %Mittelpunkt (linke Seite x,y 3/4 Quad) (rechte Seite x,y)
+
+\rput[c](-1,-0.25){$-e$}
+\rput[c](1,-0.25){$e$}
+\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,0)(-1,1.5)
+\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](-1,1.5)(1,1.5)
+\psline[linecolor=blue,linewidth=0.2pt,linestyle=dashed](1,1.5)(1,0)
+%\psline(0,0)(4,3)
+\psbrace[linecolor=orange,linewidth=0.2pt,ref=lC,nodesepA=5pt](1.1,0)(1.1,1.5){$H$}
+\psarc[linecolor=orange](0,1.5){2}{180}{360}
+\psbrace[linecolor=green,linewidth=0.2pt,ref=lC,nodesepA=5pt](0.05,0.5)(0.05,1.5){$h$}
+%\psplot[linecolor=yellow]{0.01}{1}{1 x div}
+\rput[c](1.5,-0.1){$x$}
+\rput[c](-0.2,1.8){$y$}
+
+\end{pspicture}%}
+%%http://sites.inka.de/picasso/latex.html
+
+
+%ticks=none,labels=none]{->}(

2dgrafiken/KanonischeVektorenImRaum.pst

@@ -0,0 +1,18 @@
+\psset{xunit=1cm, yunit=1cm}
+%\psframebox{
+\begin{pspicture}(-0.5,-0.5)(12.5,2.5)
+%\psgrid(0,0)(12,2)
+%\begin{pspicture}(0,0)(12, 2)
+\rput[c](6,1.5){$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}
+%\rput[c](6,1.5){\psframebox{$\cdot$}}
+%\rput[c](4.3,1.5){\psframebox{$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}}
+%\psline[arrows=->](7.9,0.5)(7.9,1.2)
+
+\psline[arrowlength=3, arrowinset=0.1, linecolor=red]{->}(6.37,0.5)(6.37,1.3)
+\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
+
+%\rput[c](0.5,0.5){.}
+%\rput[c](12,2){.}
+
+\end{pspicture}%}
+%rput center --> Koordianten werden um die x-Koordinate ausgerichtet

2dgrafiken/Kreuzprodukt.pst

@@ -0,0 +1,14 @@
+\begin{pspicture}(-0.1,-0.1)(7.5,1.85)
+
+%\psgrid(0,0)(7.5, 2)
+
+\rput[l](0.5,1.6){$\vec a \rnode{a}\times \vec b = \left( {a_2 b_3  - a_3 b_2 ,a_3 b_1  - a_1 b_3 ,a_1 b_2  - a_2 b_1 } \right)$}
+
+
+\rput[l](0.5,0.6){"Kr\Rnode[e]{ae}euz"}
+\rput[l](0.25,0.1){Kreuzprodukt}
+
+%\nccurve[angleA=0]{->}{ae}{a}
+%\ncbar[nodesep=1pt]{->}{ae}{a}
+\ncline[arrows=->,linecolor=red]{ae}{a}
+\end{pspicture}

2dgrafiken/LaengeVektorInEbene.pst

@@ -0,0 +1,31 @@
+\begin{pspicture}(-0.6,-0.8)(5,4)
+%%%%%%%%%%%%%%%%%%%%Koordinaten
+\psaxes[Ox=0,Dx=1,Oy=0,Dy=1,linewidth=0.1pt]{->}(0,0)(-0.2,-0.2)(3.5,3.5)%Schnittpunkt, x0, y0   x1,y1
+%\psgrid(0,0)(4,4)
+\rput[c](3.8,0){$x$} 
+\rput[c](0,3.8){$y$} 
+
+
+%%%%%%%%%%%%%%%%%%%%%%%Vektor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\psline[linecolor=blue, linewidth=0.5pt]{->}(0,0)(3,3)
+\rput[c](1.5,2){\color{blue}$\vec{a}$}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%Hilfslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](3,0)(3,3)
+\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](0,3)(3,3)
+\rput[c](1.5,-0.6){\color{red}$a_1$}
+\rput[c](3.7,1.5){\color{magenta}$a_2$}
+
+%%%%%%%%%%%%%%%%%%%%%%Klammer unten)%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\pscurve[linecolor=red]{-}(0,0)(0.1,-0.1)(0.2,-0.15)(0.5, -0.15)(1,-0.15)(1.4,-0.23)(1.5,-0.4)
+\pscurve[linecolor=red]{-}(1.5,-0.4)(1.6,-0.23)(2, -0.15)(2.5,-0.15)(2.8,-0.15)(2.9, -0.1)(3,0)
+
+%%%%%%%%%%%%%%%%%%%%%%Klammer rechts %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\pscurve[linecolor=magenta]{-}(3,0)(3.1, 0.1)(3.15, 0.2)(3.15, 0.5)(3.15,1)(3.23, 1.4)(3.4, 1.5)
+\pscurve[linecolor=magenta]{-}(3.4, 1.5)(3.23, 1.6)(3.15, 2)(3.15, 2.5)(3.15, 2.8)(3.1, 2.9)(3,3)
+
+\psdots(2.75,0.25)
+\psarc[linecolor=blue]{->}(3,3){2cm}{165}{225}
+\rput[l](0.5,3.6){\color{blue}\footnotesize{L\"ange $\sqrt{a^{2}_{1}+a^{2}_{2}}$ nach Pythagoras}}
+\end{pspicture}

2dgrafiken/Loesung121.pst

@@ -0,0 +1,48 @@
+\psset{xunit=1cm, yunit=1cm}
+%\psframebox{
+\begin{pspicture}(-0.5,-0.5)(5,2.1)
+%\psgrid(0,0)(5,2)
+	
+%\begin{pspicture}(0,0)(12, 2)
+\SpecialCoor
+%\psline(0,0)(4,3)
+\psline[linecolor=blue](0,0)(4;30.23)
+%\psline[linecolor=blue](4;30.23|4.6295690655178304211198499881141,0)
+\psline[linecolor=blue](0,0)(4.6295690655178304211198499881141,0)  %cos \alpha = b/c
+\psline[linecolor=blue](4.6295690655178304211198499881141,0)(4;30.23)
+
+\psarc(3.42,2){0.5cm}{210}{305}
+\psarc(0,0){1cm}{0}{30.23}
+
+
+
+\uput[r](0.5;20){$\alpha$}
+\rput[c](3.35,1.7){\Huge{$\cdot$}}
+\rput[c](2.3,-0.25){c}
+\rput[c](4.3,1){a}
+%\psarc(0,0){2.5cm}{19}{71}
+
+%(2.3308602987736;59.77)
+%3,9284742244794781932242365314914
+%(0,0)(6;40)(2;10|6;40)%(4;40|0,0)
+	%(0,0) (5;30.23) %L<>nge(Radius), Winkel
+	% n<>chster Winkel w<>re 59,77<37>
+	
+	%(!50 cos 4 mul 0)
+
+
+
+
+%\rput[c](6,1.5){$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}
+%\rput[c](6,1.5){\psframebox{$\cdot$}}
+%\rput[c](4.3,1.5){\psframebox{$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}}
+%\psline[arrows=->](7.9,0.5)(7.9,1.2)
+
+%\psline[arrowlength=3, arrowinset=0.1, linecolor=red]{->}(6.37,0.5)(6.37,1.3)
+%\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
+
+%\rput[c](0.5,0.5){.}
+%\rput[c](12,2){.}
+
+\end{pspicture}%}
+%rput center --> Koordianten werden um die x-Koordinate ausgerichtet

2dgrafiken/Loesung121_2.pst

@@ -0,0 +1,68 @@
+\psset{xunit=1cm, yunit=1cm}
+
+%\psline[linecolor=lila, linewidth=0.5pt](C)(A)
+
+%\psframebox{
+\begin{pspicture}(-0.5,-0.5)(5,2.1)
+%\psgrid(0,0)(5,2)
+	
+%\begin{pspicture}(0,0)(12, 2)
+\SpecialCoor
+
+
+\pscustom[linecolor = blue]{
+   \code{/x1 30.23 cos 4 mul def   %x= r*cos phi und y=r*sin phi
+         /y1 30.23 sin 4 mul def
+         %/r 30.23 sin 30.23 cos div  4 mul def			%tan x = sin x /cos x
+	       %/x2 90 cos r mul def
+         %/y2 90 sin r mul def
+         /x2 4 30.23 cos div def
+         }
+	\psline(!0 0)(!x1 y1) \closepath
+	\psline(!0 0) (!x2 0)\closepath
+	\psline(!x2 0) (!x1 y1)\closepath}
+
+
+
+
+%\psline(0,0)(4,3)
+
+%\psline[linecolor=blue](4;30.23|4.6295690655178304211198499881141,0)
+%\psline[linecolor=blue](0,0)(4.6295690655178304211198499881141,0)  %cos \alpha = b/c
+%\psline[linecolor=blue](4.6295690655178304211198499881141,0)(4;30.23)
+
+\psarc(3.42,2){0.5cm}{210}{305}
+\psarc(0,0){1cm}{0}{30.23}
+
+
+
+\uput[r](0.5;20){$\alpha$}
+\rput[c](3.35,1.7){\Huge{$\cdot$}}
+\rput[c](2.3,-0.25){c}
+\rput[c](4.3,1){a}
+%\psarc(0,0){2.5cm}{19}{71}
+
+%(2.3308602987736;59.77)
+%3,9284742244794781932242365314914
+%(0,0)(6;40)(2;10|6;40)%(4;40|0,0)
+	%(0,0) (5;30.23) %L<>nge(Radius), Winkel
+	% n<>chster Winkel w<>re 59,77<37>
+	
+	%(!50 cos 4 mul 0)
+
+
+
+
+%\rput[c](6,1.5){$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}
+%\rput[c](6,1.5){\psframebox{$\cdot$}}
+%\rput[c](4.3,1.5){\psframebox{$\vec{e_1}=\left(1,0,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_i}=\left(0,\ldots,1,\ldots,0\right)$\hspace{5mm}\ldots\hspace{5mm}$\vec{e_n}=\left(0,\ldots,0,1\right)$}}
+%\psline[arrows=->](7.9,0.5)(7.9,1.2)
+
+%\psline[arrowlength=3, arrowinset=0.1, linecolor=red]{->}(6.37,0.5)(6.37,1.3)
+%\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
+
+%\rput[c](0.5,0.5){.}
+%\rput[c](12,2){.}
+
+\end{pspicture}%}
+%rput center --> Koordianten werden um die x-Koordinate ausgerichtet

2dgrafiken/MultiplikationVektorInEbeneMitSkalar.pst

@@ -0,0 +1,48 @@
+	 \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, -0.8){\color{red}$a_1$}
+
+\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](-0.1,1)(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,-0.1)(6,3)
+\rput[c](6, -0.8){\color{blue}$3\cdot a_1$}
+
+\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](-0.1,3)(6,3)
+\rput[c](-0.6,3){\color{blue}$3\cdot a_2$}
+
+\rput[l](0.6,4){\color{blue}$k>0$: Strecken/Stauchen um Faktor k}
+\rput[l](0.6,3.6){\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](-4.2,2.3){\color{green}$k<0$: Richtung \"andern}
+\rput[l](-4.2,1.9){\color{green}und Strecken/Stauchen}
+\rput[l](-4.2,1.5){\color{green}um Faktor $-k$}
+\rput[l](-4.2,1.1){\color{green}\underline{hier: $-k=2$}}
+	
+	 \end{pspicture}
+

2dgrafiken/OeffnungswinkelZwischenZweiVektorenInEbene.pst

@@ -0,0 +1,24 @@
+\begin{pspicture}(-0.5,-0.8)(4.2,4)
+%%%%%%%%%%%%%%%%%%%%Koordinaten
+\psaxes[Ox=0,Dx=1,Oy=0,Dy=1,linewidth=0.1pt]{->}(0,0)(-0.2,-0.2)(3.5,3.5)%Schnittpunkt, x0, y0   x1,y1
+%\psgrid(0,0)(4,4)
+\rput[c](3.8,0){$x$} 
+\rput[c](0,3.8){$y$} 
+
+
+%%%%%%%%%%%%%%%%%%%%%%%Vektor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\psline[linecolor=blue, linewidth=0.5pt]{->}(0,0)(1,3)
+
+
+\psline[linecolor=red, linewidth=0.5pt]{->}(0,0)(3,1)
+
+
+\psarc(0,0){2.5cm}{19}{71}
+\rput[l](0.35, 0.75){$\alpha\left(\vec{a}, \vec{b}\right)$}
+
+
+
+\rput[l](3.2, 1){\color{red}$\vec{a}$}
+
+\rput[l](1, 3.2){\color{blue}$\vec{b}$}
+\end{pspicture}

2dgrafiken/SubtraktionVektorenInEbene.pst

@@ -0,0 +1,41 @@
+\begin{pspicture}(-4.5,-1.5)(6,4.5)  %x1, y1   x2, y2
+	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Koor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(-4,-1)(5.5,4)%Schnittpunkt, x0, y0   x1,y1
+	\rput[l](5.8,0){$x$} 
+	\rput[l](0,4.2){$y$} 
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor a%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+	\psline[linecolor=red, linewidth=0.5pt]{->}(0,0)(2,3)
+	\rput[l](1.5, 2){\color{red}$\vec{a}$}
+	
+	\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](2,-0.2)(2,3)
+	\rput[1](2.0,-0.7){\color{red}{$a_1$}} %%a1
+	
+	\psline[linecolor=red,linewidth=0.1pt,linestyle=dashed](-0.2,3)(2,3)
+	\rput[1](-0.4,3){\color{red}{$a_2$}} %%a2
+	
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor b%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+	\psline[linecolor=green, linewidth=0.5pt]{->}(0,0)(5,1)
+	\rput[l](4, 0.55){\color{green}$\vec{b}$}
+		
+	\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](5,-0.2)(5,1)
+	\rput[1](5,-0.4){\color{green}{$b_1$}} %%b1
+	
+	\psline[linecolor=green,linewidth=0.1pt,linestyle=dashed](-0.2,1)(5,1)
+	\rput[1](-0.4,1){\color{green}{$b_2$}} %%b2
+		
+	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Berechnungslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+	\psline[linecolor=green, linewidth=0.7pt, linestyle=dashed]{->}(2,3)(-3,2)
+	\psline[linecolor=blue,linewidth=0.7pt,linestyle=dashed](5,1)(2,3)
+	
+	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor a-b%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+	\psline[linecolor=blue, linewidth=1pt]{->}(0,0)(-3,2)	
+	\rput[l](-2.5, 0.85){\color{blue}$\vec{a}-\vec{b}$}
+
+	\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](-3,-0.2)(-3,2)
+	\rput[1](-3,-0.4){\color{blue}{$a_1-b_1$}} 
+	
+	\psline[linecolor=blue,linewidth=0.1pt,linestyle=dashed](0.2,2)(-3,2)
+	\rput[1](0.6,2){\color{blue}{$a_2-b_2$}} 	
+	
+	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \end{pspicture}

2dgrafiken/Variable.pst

@@ -0,0 +1,13 @@
+\begin{pspicture}(0,-1.16)(5.7,1.16)
+\definecolor{color118g}{rgb}{1.0,0.0,0.4}
+\psframe[linewidth=0.02,fillstyle=gradient,gradlines=2000,gradbegin=color118g,gradend=Yellow,gradmidpoint=1.0](5.7,1.16)(0.0,-1.16)
+\psframe[linewidth=0.04,fillstyle=solid](2.88,0.8)(0.28,-0.04)
+\psframe[linewidth=0.04,fillstyle=solid](5.44,0.8)(2.84,-0.04)
+\psframe[linewidth=0.04,fillstyle=solid](5.44,0.0)(0.28,-0.84)
+\usefont{T1}{ptm}{m}{n}
+\rput(1.6070312,0.39){0xA0000000}
+\usefont{T1}{ptm}{m}{n}
+\rput(4.065469,0.39){x}
+\usefont{T1}{ptm}{m}{n}
+\rput(2.8298438,-0.43){24}
+\end{pspicture} 

2dgrafiken/VektorenInEbeneVeranschaulichung01.pst

@@ -0,0 +1,33 @@
+  \begin{pspicture}(-1,-1)(4.9,4.9)
+ %\psgrid[griddots=10,gridlabels=0pt, subgriddiv=0]
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%Koor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(0,0)(4.5,4.5)%Schnittpunkt, x0, y0   x1,y1
+ \rput[l](1.7,-0.8){$1.\ Koordinate$} 
+ \rput[c](4.8,0){$x$}
+ 
+ \rput[l](0.4,4){$2.\  Koordinate$}
+ \rput[c](0,4.8){$y$}
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor / Gerade%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline[linecolor=red, linewidth=0.1pt](0,0)(3,3)
+ \rput[c](3.0,-0.3){$a_1$}  
+ \rput[c](-0.3,3){$a_2$}
+ 
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%Hlfslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](3,-0.2)(3,3)
+ \psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](-0.2,3)(3,3)
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Pfeil%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline{->}(3.5,2.5)(3.1,2.9)
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Kreuz %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline[linecolor=green] (2.9,3.1)(3.1,2.9)
+ \psline[linecolor=green] (2.9,2.9)(3.1,3.1)
+ 
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Beschriftung am Pfeil %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \rput[l](3.3,2.3){Punkt}
+ \rput[l](3.2,1.9){$(a_1, a_2)$}
+  \end{pspicture}

2dgrafiken/VektorenInEbeneVeranschaulichung02.pst

@@ -0,0 +1,27 @@
+ \begin{pspicture}(-1,-1)(4.9,4.9)
+ %\psgrid[griddots=10,gridlabels=0pt, subgriddiv=0]
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Koordinaten%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psaxes[Ox=0,Dx=2,Oy=0,Dy=2,linewidth=0.1pt]{->}(0,0)(-0.0,-0.0)(4.5,4.5)%Schnittpunkt, x0, y0   x1,y1
+ \rput[c](4.8,0){$x$} 
+ \rput[c](0,4.8){$y$}
+ 
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Vektor%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline[linecolor=red, linewidth=0.1pt]{->}(0,0)(3,3)
+  
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Hilfslinien%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](3,-0.2)(3,3)
+ \psline[linecolor=blue, linestyle=dashed, linewidth=0.1pt](-0.2,3)(3,3)
+ \rput[c](3.0,-0.3){$a_1$}
+ \rput[c](-0.3,3){$a_2$}
+ 
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%Pfeil mit Beschriftung%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \psline{->}(3.5,2.5)(3.1,2.9)
+ \rput[l](1.8,2.3){$Vektor\ ("Pfeil")$}
+ \rput[l](2.5,1.9){$\vec{a}$}
+ 
+ 
+ 
+ 
+  \end{pspicture}

2dgrafiken/Zeiger_auf_Variable.pst

@@ -0,0 +1,24 @@
+\begin{pspicture}(0,0)(11.56,3.5)
+\definecolor{color13f}{rgb}{1.0,0.2,0.2}
+\psframe[linewidth=0.02,fillstyle=gradient,gradlines=2000,gradbegin=Yellow,gradend=color13f,gradmidpoint=1.0](11.56,3.5)(0.0,0.3)
+\psframe[linewidth=0.04,fillstyle=solid](2.88,3.16)(0.28,2.32)
+\psframe[linewidth=0.04,fillstyle=solid](5.44,3.16)(2.84,2.32)
+\psframe[linewidth=0.04,fillstyle=solid](5.44,2.36)(0.28,1.52)
+\usefont{T1}{ptm}{m}{n}
+\rput(1.6070312,2.75){0xA0000000}
+\usefont{T1}{ptm}{m}{n}
+\rput(4.065469,2.75){x}
+\usefont{T1}{ptm}{m}{n}
+\rput(2.8298438,1.93){24}
+\psframe[linewidth=0.04,fillstyle=solid](8.54,3.16)(5.94,2.32)
+\psframe[linewidth=0.04,fillstyle=solid](11.1,3.16)(8.54,2.32)
+\psframe[linewidth=0.04,fillstyle=solid](11.1,2.38)(5.94,1.54)
+\usefont{T1}{ptm}{m}{n}
+\rput(8.487031,1.95){0xA0000000}
+\usefont{T1}{ptm}{m}{n}
+\rput(9.753437,2.77){z}
+\usefont{T1}{ptm}{m}{n}
+\rput(7.2465625,2.75){0xB0320CAD}
+\psbezier[linewidth=0.04]{<-}(2.76,1.5)(2.76,0.76)(8.56,0.76)(8.56,1.5)
+\psline[linewidth=0.04cm](3.82,1.1)(3.82,1.1)
+\end{pspicture}