If \[{{z}_{1}}\],\[{{z}_{2}}\],\[{{z}_{3}}\]are the vertices of an equilateral triangle ABC such that \[\left| {{z}_{1}}-i \right|\]=\[\left| {{z}_{2}}-i \right|\]=\[\left| {{z}_{3}}-i \right|\],then \[\left| {{z}_{1}}+{{z}_{2}}+{{z}_{3}} \right|\]equals to

If \[{{z}_{1}}\],\[{{z}_{2}}\],\[{{z}_{3}}\]are the vertices of an equ

1.	If \[{{z}_{1}}\],\[{{z}_{2}}\],\[{{z}_{3}}\]are the vertices of an equilateral triangle ABC such that \[\left\| {{z}_{1}}-i \right\|\]=\[\left\| {{z}_{2}}-i \right\|\]=\[\left\| {{z}_{3}}-i \right\|\],then \[\left\| {{z}_{1}}+{{z}_{2}}+{{z}_{3}} \right\|\]equals to
A.	\[3\sqrt{3}\]
B.	\[\sqrt{3}\]
C.	3
D.	\[\frac{1}{3\sqrt{3}}\]
Answer» D. \[\frac{1}{3\sqrt{3}}\]

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If \[{{z}_{1}}\],\[{{z}_{2}}\],\[{{z}_{3}}\]are the vertices of an equilateral triangle ABC such that \[\left| {{z}_{1}}-i \right|\]=\[\left| {{z}_{2}}-i \right|\]=\[\left| {{z}_{3}}-i \right|\],then \[\left| {{z}_{1}}+{{z}_{2}}+{{z}_{3}} \right|\]equals to

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