Wiki-Quellcode von Lösung Quadrat Diagonale
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author | version | line-number | content |
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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}} |