Wiki-Quellcode von Lösung Quadrat Diagonale

Version 2.1 von akukin am 2024/10/18 23:08

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1 {{detail summary="Erwartungshorizont"}}
2 {{formula}}\left(\begin{array}{c} -1 \\ 4 \\ -2 \end{array}\right)+\lambda\cdot \left(\begin{array}{c} 2 \\ 0 \\ 1 \end{array}\right)=\left(\begin{array}{c} x_1 \\ x_2 \\ 0 \end{array}\right){{/formula}} liefert {{formula}}\lambda=2{{/formula}}.
3 <br>
4 Schnittpunkt {{formula}}M{{/formula}} der Diagonalen: {{formula}}M\left(3\left|4\right|0\right){{/formula}}
5 <br>
6 {{formula}}\left|\overrightarrow{OM}\right|=\sqrt{3^2+4^2}=5{{/formula}}
7 <br>
8 Flächeninhalt des Quadrats: {{formula}}4\cdot\frac{1}{2}\cdot5^2=50{{/formula}}
9 {{/detail}}