1. Prove that if z1+z2+z3= 0 and|z1|=|z2|=|z3|= 1, then the pointsz1, z2andz3are the vertices of an equilateral triangle inscribed in the unit circle.
2. Let a,b,c be complex numbers representing vertices of triangle ABC, let w = cos(2 pi/3) + isin (2pi/3) show that triangle ABC is equilateral...