If ${z_1}, {z_2}, {z_3}$ are affixes of the vertices $A, B$ and $C$ respectively of a triangle $ABC$ having centroid at $G$ such that $z = 0$ is the midpoint of $AG$,then:
- A${z_1} + {z_2} + {z_3} = 0$
- B${z_1} + 4{z_2} + {z_3} = 0$
- C${z_1} + {z_2} + 4{z_3} = 0$
- D$4{z_1} + {z_2} + {z_3} = 0$
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