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ABCD is a rhombus in the argand plane. I...

ABCD is a rhombus in the argand plane. If the affixes of the vertices are `z_1,z_2,z_3,z_4` respectively and `angle CBA=pi/3` then find the value of `z_1+omegaz_2+omega^2z_3` where omega is a complex cube root of the unity

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