Let \( \mathrm{z}_{1}=1+\mathrm{i} \) and \( \mathrm{z}_{2}=-1-\mathrm{i} \). Find \( \mathrm{z}...

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Let \( \mathrm{z}_{1}=1+\mathrm{i} \) and \( \mathrm{z}_{2}=-1-\mathrm{i} \). Find \( \mathrm{z}_{3} \in \mathrm{C} \) such that triangle \( \mathrm{z}_{1} \mathrm{z}_{2} \mathrm{z}_{3} \) is equilateral.
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