2010013103

Given the complex numbers $a=3\sqrt{2}(\cos {120}^{\circ }+\mathrm{i}\sin {120}^{\circ })$, $b=2(\cos \frac{4\pi }{3}+\mathrm{i}\sin \frac{4\pi }{3})$ and $c=\frac{\sqrt{2}}{2}(\cos \frac{\pi }{4}+\mathrm{i}\sin \frac{\pi }{4})$, evaluate $\frac{a\cdot b}{c}$.