If \( \left|z_{1}\right|=\left|z_{2}\right|=\left|z_{3}\right|=1 \) and \( z_{1}, z_{2}, z_{3} \...
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0If \( \left|z_{1}\right|=\left|z_{2}\right|=\left|z_{3}\right|=1 \) and \( z_{1}, z_{2}, z_{3} \) represent the vertices of an equilateral triangle, then
(A) \( z_{1}+z_{2}+z_{3}=0 \) and \( z_{1} z_{2} z_{3}=1 \)
(B) \( z_{1}+z_{2}+z_{3}=1 \) and \( z_{1} z_{2} z_{3}=1 \)
(C) \( z_{1} z_{2}+z_{2} z_{3}+z_{3} z_{1}=0 \) and \( z_{1}+z_{2}+z_{3}=0 \)
(D) \( z_{1} z_{2}+z_{2} z_{3}+z_{3} z_{1}=0 \) and \( z_{1} z_{2} z_{3}=1 \)
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