Hey guys, first time posting a question, i am completely stuck on this question.

"If G is the centroid of ABC, prove AG + BG +CG =0 "

( sry but I dunno how to do vector hats on top of the AG BG BG and 0)

I have no idea what euclidean geometry is :P but my teacher wants us to prove it without it. haha guys sry for not being so percise and thank you for your time.

btw, i believe if D,E,F bisect AB BC and CA respectively, he wants he to do something like set m(vector) as t AF and FC and then etc...