If $G$ is the centroid of the $\triangle A B C$, then $\mathbf{G A}+\mathbf{B G}+\mathbf{G C}$ is equal to

If $G$ is the centroid of the $\triangle A B C$, then $\mathbf{G A}+\mathbf{B G}+\mathbf{G C}$ is equal to
  1. $2GB$
  2. $2GA$
  3. $0$
  4. $2BG$

Solution

Since, $G$ is the centroid of a triangle we know that

Asked in: AP EAMCET 2004

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