Complex Numbershard
0:00.0

Let z1,z2,z3z_1, z_2, z_3 be complex numbers such that z1=z2=z3=1|z_1|=|z_2|=|z_3|=1 and z1+z2+z3=0z_1+z_2+z_3=0. What is z12+z22+z32z_1^2 + z_2^2 + z_3^2?