If 1,ω,ω2,…,ωn−1 are the nth roots of unity and z1 and z2 are a – InterviewSolution

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1.	If 1,ω,ω2,…,ωn−1 are the nth roots of unity and z1 and z2 are any two complex numbers, then n−1∑k=0\|z1+ωkz2\|2 is equal to
Answer» If $1, ω, ω^{2}, \dots, ω^{n - 1}$ are the $n^{th}$ roots of unity and $z_{1}$ and $z_{2}$ are any two complex numbers, then $n - 1 \sum k = 0 \| z_{1} + ω^{k} z_{2} \|^{2}$ is equal to

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