19Vektor zwischen zwei Punkten berechnen (2/2)

Berechne den Verbindungsvektor $\overrightarrow{\text{PQ}}\backslash overrightarrow\{\backslash text\{PQ\}\}$ der Punkte $\text{P}(1;3)\backslash text\; P(1;3)$ und $\text{Q}(3;2)\backslash text\; Q(3;2)$.

Der Verbindungsvektor $\overrightarrow{\text{PQ}}\backslash overrightarrow\{\backslash text\{PQ\}\}$ wird als Differenzvektor berechnet. Dabei gilt die Regel:

$\overrightarrow{\text{PQ}}=\vec{q}-\vec{p}\backslash overrightarrow\{\backslash text\{PQ\}\}=\backslash vec\; q-\backslash vec\; p\backslash \backslash$

$=\left(\begin{array}{c}3\\ 2\end{array}\right)-\left(\begin{array}{c}1\\ 3\end{array}\right)=\left(\begin{array}{c}2\\ -1\end{array}\right)=\backslash begin\{pmatrix\}3\backslash \backslash 2\backslash end\{pmatrix\}-\backslash begin\{pmatrix\}1\backslash \backslash 3\backslash end\{pmatrix\}=\backslash begin\{pmatrix\}2\backslash \backslash -1\backslash end\{pmatrix\}$