Moreover, the angles add. Consider the polar forms: \\ z=[cos\theta_1 , sin\theta_1] \ \ \ w=[cos\theta_2,sin\theta_2] \\ z.w=[cos\theta_1 , sin\theta_1]\bigodot[cos\theta_2,sin\theta_2]\\ =\begin{pmatrix} cos\theta_2 &-sin\theta_2 \\ sin\theta_2 &cos\theta_2 \end{pmatrix}\begin{pmatrix}...