1) Let u, v, w be three complex numbers such that |u| =|v|=|w|=1 and u + v + w =0. Show that the points representing u,v,w are vertices of an equilateral triangle inscribed in a unit circle.
2) Let w, z be two non-zero comples numbers. If wZ+Wz = 0, show that w/z is purely imaginary. What is...