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Published in:
2017 | OriginalPaper | Chapter
2. Vektorrechnung
Author : Thomas Rießinger
Published in: Übungsaufgaben zur Mathematik für Ingenieure
Publisher: Springer Berlin Heidelberg
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Auszug
Gegeben seien die Vektoren
$$\displaystyle\mathbf{a}=\left(\begin{array}[]{@{}r@{}}-2\\ 3\\ 1\end{array}\right),\mathbf{b}=\left(\begin{array}[]{@{}r@{}}0\\ -1\\ 4\end{array}\right)\hbox{ und }\mathbf{c}=\left(\begin{array}[]{@{}r@{}}6\\ -1\\ 2\end{array}\right).$$
$$\displaystyle\mathbf{x}=-2\mathbf{a}+3\mathbf{b}+5\mathbf{c},\mathbf{y}=5(\mathbf{b}-3\mathbf{a})-2\mathbf{c},\mathbf{z}=3(\mathbf{a}+\mathbf{b})-5(\mathbf{b}-\mathbf{c})+\mathbf{a}.$$