Lösungen zu den Aufgaben 4

4.1

a) $\overrightarrow{AB}=\left(\begin{array}{c}-5+8\\ 7-5\\ -11-12\end{array}\right)=\left(\begin{array}{c}3\\ 2\\ -23\end{array}\right)$
b) $\overrightarrow{AB}=\left(\begin{array}{c}-8\\ 3\\ -11\end{array}\right)$

4.2

a) $\overrightarrow{P{P}^{\prime }}=\overrightarrow{v}=\left(\begin{array}{c}3\\ 2\\ -4\end{array}\right)$
b) $\overrightarrow{A^{\prime }}=\overrightarrow{OA}+\overrightarrow{P{P}^{\prime }}=\left(\begin{array}{c}6\\ 0\\ 0\end{array}\right)$
$\overrightarrow{B^{\prime }}=\overrightarrow{OB}+\overrightarrow{P{P}^{\prime }}=\left(\begin{array}{c}6,5\\ 4,5\\ -9\end{array}\right)$