Wähle  $\overrightarrow{\mathrm{O}\mathrm{A}}\backslash overrightarrow\{\backslash mathrm\{OA\}\}$  als Aufpunkt und $\overrightarrow{\mathrm{u}}\backslash overrightarrow\{\backslash mathrm\; u\}$  und  $\overrightarrow{\mathrm{v}}\backslash overrightarrow\{\backslash mathrm\; v\}$  als Richtungsvektoren der Ebene und setze sie in die Ebenengleichung  $\mathrm{E}:\overrightarrow{\mathrm{x}}=\overrightarrow{\mathrm{O}\mathrm{A}}+\lambda \cdot \overrightarrow{\mathrm{u}}+\mu \cdot \overrightarrow{\mathrm{v}}\backslash mathrm\; E:\backslash ;\backslash overrightarrow\{\backslash mathrm\; x\}=\backslash overrightarrow\{\backslash mathrm\{OA\}\}+\backslash mathrm\backslash lambda\backslash cdot\backslash overrightarrow\{\backslash mathrm\; u\}+\backslash mathrm\backslash mu\backslash cdot\backslash overrightarrow\{\backslash mathrm\; v\}$  ein:

Wähle  $\overrightarrow{\mathrm{O}\mathrm{A}}\backslash overrightarrow\{\backslash mathrm\{OA\}\}$  als Aufpunkt und  $\overrightarrow{\mathrm{u}}\backslash overrightarrow\{\backslash mathrm\; u\}$  und  $\overrightarrow{\mathrm{v}}\backslash overrightarrow\{\backslash mathrm\; v\}$  als Richtungsvektoren der Ebene und setze sie in die Ebenengleichung  $\mathrm{E}:\overrightarrow{\mathrm{x}}=\overrightarrow{\mathrm{O}\mathrm{A}}+\lambda \cdot \overrightarrow{\mathrm{u}}+\mu \cdot \overrightarrow{\mathrm{v}}\backslash mathrm\; E:\backslash ;\backslash overrightarrow\{\backslash mathrm\; x\}=\backslash overrightarrow\{\backslash mathrm\{OA\}\}+\backslash mathrm\backslash lambda\backslash cdot\backslash overrightarrow\{\backslash mathrm\; u\}+\backslash mathrm\backslash mu\backslash cdot\backslash overrightarrow\{\backslash mathrm\; v\}$  ein:

Wähle  $\overrightarrow{\mathrm{O}\mathrm{A}}\backslash overrightarrow\{\backslash mathrm\{OA\}\}$  als Aufpunkt und  $\overrightarrow{\mathrm{u}}\backslash overrightarrow\{\backslash mathrm\; u\}$  und  $\overrightarrow{\mathrm{v}}\backslash overrightarrow\{\backslash mathrm\; v\}$  als Richtungsvektoren der Ebene und setze sie in die Ebenengleichung  $\mathrm{E}:\overrightarrow{\mathrm{x}}=\overrightarrow{\mathrm{O}\mathrm{A}}+\lambda \cdot \overrightarrow{\mathrm{u}}+\mu \cdot \overrightarrow{\mathrm{v}}\backslash mathrm\; E:\backslash ;\backslash overrightarrow\{\backslash mathrm\; x\}=\backslash overrightarrow\{\backslash mathrm\{OA\}\}+\backslash mathrm\backslash lambda\backslash cdot\backslash overrightarrow\{\backslash mathrm\; u\}+\backslash mathrm\backslash mu\backslash cdot\backslash overrightarrow\{\backslash mathrm\; v\}$  ein: