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$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle$$$
Ihre Eingabe
Berechne $$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle$$$.
Lösung
Multipliziere jede Komponente des Vektors mit dem Skalar:
$$${\color{Purple}\left(\frac{1}{t^{2} \left|{a g h m n r s}\right|}\right)}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle = \left\langle {\color{Purple}\left(\frac{1}{t^{2} \left|{a g h m n r s}\right|}\right)}\cdot \left(i a g h m n r s t^{2} e^{e i n o r s^{2}}\right)\right\rangle = \left\langle \frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right\rangle$$$
Antwort
$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle = \left\langle \frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right\rangle$$$A