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$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle$$$
Din inmatning
Beräkna $$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle$$$.
Lösning
Multiplicera varje koordinat i vektorn med skalären:
$$${\color{Crimson}\left(\frac{1}{t^{2} \left|{a g h m n r s}\right|}\right)}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle = \left\langle {\color{Crimson}\left(\frac{1}{t^{2} \left|{a g h m n r s}\right|}\right)}\cdot \left(i a g h m n r s t^{2} e^{e i n o r s^{2}}\right)\right\rangle = \left\langle \frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right\rangle$$$
Svar
$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle = \left\langle \frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right\rangle$$$A