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If |z(1)|= |z(2)|= |z(3)|=1 and z(1) , z...

If `|z_(1)|= |z_(2)|= |z_(3)|=1 and z_(1) , z_(2), z_(3)` are represented by the vertices of an equilateral triangle then which of the following is true?

A

`z_(1) + z_(2) + z_(3) =0`

B

`z_(1) z_(2) z_(3)=1`

C

`z_(1)z_(2) + z_(2) z_(3) + z_(3)z_(1)= 0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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