Q: Find all cube roots of unity. Show they sum to 0. z³ = 1: e^(2πik/3), k = 0,1,2. 1, e^(2πi/3) = -1/2+i√3/2, e^(4πi/3) = -1/2-i√3/2. ω = e^(2πi/3): 1+ω+ω² = 0! (ω²+ω+1 = 0!) Vertices of equilateral triangle!