2010013102

Given the complex numbers $a=2(\cos \frac{\pi }{3}+\mathrm{i}\sin \frac{\pi }{3})$, $b=\sqrt{2}(\cos \frac{5\pi }{4}+\mathrm{i}\sin \frac{5\pi }{4})$ and $c=2\sqrt{2}(\cos (-\frac{\pi }{6})+\mathrm{i}\sin (-\frac{\pi }{6}))$, evaluate $a\cdot b\cdot c$.