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Uitwerking
Stel vectorvoorstellingen op van twee van de middelloodlijnen en bereken het snijpunt.
$
\begin{array}{l}
l:\left( {\begin{array}{*{20}c}
x\\
y\\
\end{array}} \right) = \left( {\begin{array}{*{20}c}
3\\
2\\
\end{array}} \right) + \lambda \left( {\begin{array}{*{20}c}
{-1}\\
2\\
\end{array}} \right) \\
k:\left( {\begin{array}{*{20}c}
x\\
y\\
\end{array}} \right) = \left( {\begin{array}{*{20}c}
2\\
4\\
\end{array}} \right) + \mu \left( {\begin{array}{*{20}c}
2\\
{-1}\\
\end{array}} \right) \\
\left\{ \begin{array}{l}
3 - \lambda = 2 + 2\mu \\
2 + 2\lambda = 4 - \mu \\
\end{array} \right. \\
\left\{ \begin{array}{l}
6 - 2\lambda = 4 + 4\mu \\
2 + 2\lambda = 4 - \mu \\
\end{array} \right. \\
8 = 8 + 3\mu \\
\mu = 0 \\
S\left( {2,4} \right) \\
\end{array}
$
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