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Math Help - Vector Proof - Triangle Centroid Related

  1. #1
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    Lightbulb 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...
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  2. #2
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    Quote Originally Posted by ajacka View Post
    ...
    "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
    Attached Thumbnails Attached Thumbnails Vector Proof - Triangle Centroid Related-vectorsum_sketch.gif  
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  3. #3
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    Hi,

    it's me again.

    Here is the proof:
    Attached Thumbnails Attached Thumbnails Vector Proof - Triangle Centroid Related-vectorsum_dreieck.gif  
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  4. #4
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    thank you

    thank you
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