$\overrightarrow{AB}=\left(\begin{array}{c}{b}_1\\ b_2\end{array}\right)-\left(\begin{array}{c}{a}_1\\ a_2\end{array}\right)\backslash overrightarrow\{\{AB\}\}=\backslash begin\{pmatrix\}b\_1\backslash \backslash b\_2\backslash end\{pmatrix\}-\backslash begin\{pmatrix\}a\_1\backslash \backslash a\_2\backslash end\{pmatrix\}$ $\Rightarrow \backslash Rightarrow$ $\left(\begin{array}{c}{a}_1\\ a_2\end{array}\right)=\left(\begin{array}{c}{b}_1\\ b_2\end{array}\right)-\overrightarrow{AB}\backslash begin\{pmatrix\}a\_1\backslash \backslash a\_2\backslash end\{pmatrix\}=\backslash begin\{pmatrix\}b\_1\backslash \backslash b\_2\backslash end\{pmatrix\}-\backslash overrightarrow\{\{AB\}\}$

Setze nun die Werte ein. $B(b_1\mathrm{\mid }{b}_2)B(b\_1|b\_2)$ kannst du aus der Zeichnung ablesen.

$\left(\begin{array}{c}{a}_1\\ a_2\end{array}\right)=\left(\begin{array}{c}2\\ 2\end{array}\right)-\left(\begin{array}{c}1\\ -2\end{array}\right)=\left(\begin{array}{c}1\\ 4\end{array}\right)\backslash begin\{pmatrix\}a\_1\backslash \backslash a\_2\backslash end\{pmatrix\}=\backslash begin\{pmatrix\}2\backslash \backslash 2\backslash end\{pmatrix\}-\backslash begin\{pmatrix\}1\backslash \backslash -2\backslash end\{pmatrix\}=\backslash begin\{pmatrix\}1\backslash \backslash 4\backslash end\{pmatrix\}$ $\Rightarrow \backslash Rightarrow$ $A(1\mathrm{\mid }4)A(1|4)$

Verbinde nun den Punkt $AA$ mit dem Punkt $BB$ durch den Pfeil $\overrightarrow{AB}\backslash overrightarrow\{\{AB\}\}$.