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A More Simple Curvature Proof.

  1. Feb 18, 2013 #1
    1. The problem statement, all variables and given/known data

    Prove the following statement

    K = (a(t) * N(t)) / (llv(t)ll)2

    To clear things up it is the dot product of a(t), and N(t). Divided by the magnitude of velocity squared.

    2. Relevant equations

    llV X All / llV(t)ll3

    3. The attempt at a solution

    I used the cross product identity to get llAll ll V Sin(θ). I canceled a V on the top, and bottom. I am left with A(t) * 1. I am wondering if I can changed that to N(t) since it has a length of one, or do I need to something else?
  2. jcsd
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