$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle$$$
入力内容
$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle$$$を計算せよ。
解答
ベクトルの各成分にスカラーを乗じる:
$$${\color{Fuchsia}\left(\frac{1}{t^{2} \left|{a g h m n r s}\right|}\right)}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle = \left\langle {\color{Fuchsia}\left(\frac{1}{t^{2} \left|{a g h m n r s}\right|}\right)}\cdot \left(i a g h m n r s t^{2} e^{e i n o r s^{2}}\right)\right\rangle = \left\langle \frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right\rangle$$$
解答
$$$\frac{1}{t^{2} \left|{a g h m n r s}\right|}\cdot \left\langle i a g h m n r s t^{2} e^{e i n o r s^{2}}\right\rangle = \left\langle \frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right\rangle$$$A