Question 7
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 $\omega = 2\mathrm{e}^{\frac{1}{2}\pi\mathrm{i}}$.
**(a)** State the values of $\omega z_1$ and $\omega z_2$. Give your answers in the form $r\mathrm{e}^{\mathrm{i}\theta}$, where $r \gt 0$ and $-\pi \lt \theta \le \pi$.
**(a)** State the values of $\omega z_1$ and $\omega z_2$. Give your answers in the form $r\mathrm{e}^{\mathrm{i}\theta}$, where $r \gt 0$ and $-\pi \lt \theta \le \pi$.
