\( A B C D \) is a rhombus in the Argand plane. If the affixes of the vertices are \( z_{1}, z_{...
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0\( A B C D \) is a rhombus in the Argand plane. If the
affixes of the vertices are \( z_{1}, z_{2}, z_{3} \) and \( z_{4} \) respectively, and \( \angle C B A=\pi / 3 \), then
(A) \( z_{1}+w z_{2}+w^{2} z_{3}=0 \)
(B) \( z_{1}-w z_{2}-w^{2} z_{3}=0 \)
(C) \( w z_{1}+z_{2}+w^{2} z_{3}=0 \)
(D) \( w^{2} z_{1}+w z_{2}+z_{3}=0 \)
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