If |z1|=|z2|=|z3|=|z4|=1 and z1+z2+z3+z4=0 then least value of the exp – InterviewSolution

1.	If \|z1\|=\|z2\|=\|z3\|=\|z4\|=1 and z1+z2+z3+z4=0 then least value of the expression E=\|z1−z2\|2+\|z2−z3\|2+\|z3−z4\|2+\|z4−z1\|2 is
Answer» If \| $z_{1} \| = \| z_{2} \| = \| z_{3} \| = \| z_{4} \| = 1$ and $z_{1} + z_{2} + z_{3} + z_{4} = 0$ then least value of the expression $E = \| z_{1} - z_{2} \|^{2} + \| z_{2} - z_{3} \|^{2} + \| z_{3} - z_{4} \|^{2} + \| z_{4} - z_{1} \|^{2}$ is

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