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If `z_(1),z_(2),z_(3)` are three complex numbers, such that `|z_(1)|=|z_(2)|=|z_(3)|=1` & `z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=0` then `|z_(1)^(3)+z_(2)^(3)+z_(3)^(3)|` is equal to _______. (not equal to 1) |
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Answer» Correct Answer - 3 `:. z_(1)=zimpliesz_(2)^(2)=z^(2)omega^(2),z_(3)=z_(2)^(2)omega^(2)` `:. (z_(2))/(z_(1))=+omega` or `-omega` `(z_(3))/(z_(1))=+omega^(2)` or `-omega^(2)` |
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