Given-z-1-e-i-pi-3-z-3-3-and-z-2-e-i-2pi-3-z-3-3-Show-that-z-2-z-z-1-z-i-3-z-3-z-3-

Question Number 142537 by mathocean1 last updated on 01/Jun/21

Given :

z_{1} = e^{i \frac{π}{3}} (z + 3) - 3 and z_{2} = e^{- i \frac{2 π}{3}} (z - 3) + 3 .

Show that

\frac{z_{2} - z}{z_{1} - z} = i \sqrt{3} \frac{z - 3}{z + 3}