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Let z1,z2,z3 be complex numbers such that z21+z22+z23=z1z2+z2z3+z3z1 and |z1+z2+z3|=21. Given that |z1−z2|=2√3, |z1|=3√3, then the value of |z2|2+|z3|2 is |
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Answer» Let z1,z2,z3 be complex numbers such that z21+z22+z23=z1z2+z2z3+z3z1 and |z1+z2+z3|=21. Given that |z1−z2|=2√3, |z1|=3√3, then the value of |z2|2+|z3|2 is |
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