If z 1- Z 2- z 3 represent the vertices of an equilateral triangle such that - z 1- z 2- z 3- then A- z1-z2-z3B- z1 z2-1-z3C- z1-z2-z3-z2D- z1-z2-z3-0

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Centroid of a Triangle

If z 1, Z 2, ...

Question

If $z_{1}, z_{2}, z_{3}$ represent the vertices of an equilateral triangle such that $| z_{1} | = | z_{2} | = | z_{3} |$ , then

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| z_{1} | = | z_{2} | = | z_{3} | = 1

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| z_{1} - i | = | z_{2} - i | = | z_{3} - i |

| z_{1} + z_{2} + z_{3} | =

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