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Math Help - This is difficult as well, don't know where to start

  1. #1
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    This is difficult as well, don't know where to start

    Let u = (u1, u2, u3) be a vector in R
    3
    . Prove that ||u|| = 0 if and only if u = 0.
    [Note: the ‘if and only if’ phrase means that you have to prove TWO things - firstly, that
    ||u|| = 0 implies u = 0; and secondly, that u = 0 implies ||u|| = 0.]
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  2. #2
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    Re: This is difficult as well, don't know where to start

    How is the length of a vector in R3 defined?
    Thanks from topsquark
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