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Math Help - Inner product space problems

  1. #1
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    Inner product space problems

    Just started learning it and didn't quite get the hang of it.
    So here are the questions:

    Let V be an inner product space and U,W \subseteq{V} prove that:
    1. a. Solved nvm this one
    b. Solved nvm this one
    c. V=U\oplus{W} \Leftrightarrow V=U^\bot \oplus {W^\bot}

    2.In inner product space V we are given { v_1,....,v_k} vectors for which
    \|{v}\|^2=(v,v_1)^2+.....+(v,v_k)^2.
    Show that V=span{ v_1,....,v_k}

    Thanks for any help in advance.
    Last edited by wicked; April 28th 2010 at 04:00 AM.
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