If z1, z2, z3 are complex numbers such that z1=z2=z3=1z1+1z2+1z3=1, th – InterviewSolution

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1.	If z1, z2, z3 are complex numbers such that z1=z2=z3=1z1+1z2+1z3=1, then find the value of z1+z2+z3.
Answer» If z₁, z₂, z₃ are complex numbers such that $\|z_{1}\| = \|z_{2}\| = \|z_{3}\| = \|\frac{1}{z_{1}} + \frac{1}{z_{2}} + \frac{1}{z_{3}}\| = 1$ , then find the value of $\|z_{1} + z_{2} + z_{3}\|$ .

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