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Math Help - Proving that vector addition is associative

  1. #1
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    Proving that vector addition is associative

    Complete the following non diagram proof that vector addition is associative:

    For all points P, Q, R, S, (PQ + QR) + RS = PR + ...........
    ...........
    ...........
    = PQ + (QR + RS)

    Note that all the letters ie 'PQ' etc have an arrow above them --->, not a single one for all, but one above each letter pair.
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  2. #2
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    What is your definition of vector addition?
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  3. #3
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    Quote Originally Posted by brumby_3 View Post
    Complete the following non diagram proof that vector addition is associative:

    For all points P, Q, R, S, (PQ + QR) + RS = PR + ...........
    ...........
    ...........
    = PQ + (QR + RS)


    Note that all the letters ie 'PQ' etc have an arrow above them --->, not a single one for all, but one above each letter pair.
    You are simply adding the individual components (x,y,z etc) so its simply a case that addition is associative.
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  4. #4
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    Nevermind, I understand now, thanks
    Last edited by brumby_3; March 9th 2011 at 02:39 PM.
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