(i) Let \( z_{1}=1+i \) and \( z_{2}=-1- \) i. Find \( z_{3} \in C \) such that triangle \( z_{1...
(i) Let \( z_{1}=1+i \) and \( z_{2}=-1- \) i. Find \( z_{3} \in C \) such that triangle \( z_{1}, z_{2}, z_{3} \) is equilateral.
(a) \( \sqrt{3}(1-i) \)
(b) \( \sqrt{3}(1+i) \)
(c) \( 2 \sqrt{3}(-1+i) \)
(d) \( \sqrt{3}(-1-i) \)
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