# Thread: Vector Proof - Triangle Centroid Related

1. ## Vector Proof - Triangle Centroid Related

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...

2. Originally Posted by ajacka
...
"If G is the centroid of ABC, prove AG + BG +CG =0 "
...
Hello, ajacka,

I'll send you 2 posts:
The attachment to this post shows the situation, in the attachment of the 2nd post you'll see the proof.

EB

3. Hi,

it's me again.

Here is the proof:

4. ## thank you

thank you

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### vector proof centroid equations

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