If `z_1,z_2,z_3` are three complex numbers and `a_1 =z_1+z_2+z_3` `b_1=z_1+wz_2+w^2z_3` , ...
18 views · Published 12 October 2018 · 8:28 · Indexed 27 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW If `z_1,z_2,z_3` are three complex numbers and `a_1 =z_1+z_2+z_3`
`b_1=z_1+wz_2+w^2z_3` , `c_1=z_1+w^2z_2+wz_3` `|a_1|^2+|b_1|^2+|c|^2=3{||z|^2+|z_2|^2+|z_3|^2}` where `w,w^2` are cube roots of unity.
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