Complex numbers `z_(1),z_(2),z_(3)` are the vertices of A,B,C respectively of an equilteral triangle
Channel: Doubtnut
Date: 2020-05-24

Complex numbers `z_(1),z_(2),z_(3)` are the vertices of A,B,C respectively of an equilteral triangle. Show that `z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1).`