Question 9
It is given that $z_1 = 3\mathrm{e}^{\frac{1}{4}\pi\mathrm{i}}$, $z_2 = \frac{3}{2}\mathrm{e}^{\frac{1}{6}\pi\mathrm{i}}$ and $\omega = 2\mathrm{e}^{\frac{1}{2}\pi\mathrm{i}}$.
**(c)** State the geometric effects of multiplying $z_1$ and $z_2$ by $\omega$.
**(c)** State the geometric effects of multiplying $z_1$ and $z_2$ by $\omega$.
