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Math Help - Centroid proof using vectors

  1. #1
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    Centroid proof using vectors

    Hey everyone! Please help me to solve this question that I am stumped on.

    If G is the centroid of triangle ABC, and X is any point, prove using vectors that

    Centroid proof using vectors-codecogseqn.gif
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  2. #2
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    Re: Centroid proof using vectors

    Hi comet,
    The attached solution uses properties of dot product, mainly that dot product distributes over addition.

    Centroid proof using vectors-mhfgeometry48.png
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