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If z1,z2,z3z_1,z_2,z_3z1,z2,z3 are complex numbers\text{complex numbers}complex numbers such that ∣z1∣=2|z_1| = 2∣z1∣=2, ∣z2∣=3|z_2| = 3∣z2∣=3 and ∣z3∣=4|z_3| = 4∣z3∣=4 Find the maximum value of ∣z1−z2∣2+∣z2−z3∣2+∣z3−z1∣2|z_1-z_2|^2 + |z_2-z_3|^2 + |z_3-z_1|^2∣z1−z2∣2+∣z2−z3∣2+∣z3−z1∣2
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If z1,z2,z3 are complex numbers such that ∣z1∣=2, ∣z2∣=3 and ∣z3∣=4
Find the maximum value of ∣z1−z2∣2+∣z2−z3∣2+∣z3−z1∣2