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Math Help - Crossproduct of analytic vectors

  1. #1
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    Crossproduct of analytic vectors

    I have the following problem:
    (K denotes kappa, Y denotes gamma)


    Calculate the curvature K(t)= (||Y'(t) X Y''(t)|| / (||Y'(t)||^3))

    of the parametrized curve
    Y(t)= (2cost+sint , 1-2cost+2sint , cost+2sint)

    Its derivatives are;
    Y'(t)= (-2sint+cost ,  2(sint+cost) , 2cost-sint)
    Y''(t)= (-2cost-sint , 2(cost-sint) , -2sint-cost)

    I only need the cross-product OR the determinant of the matrix
    det[Y'(t)Y''(t)]

    and I cant remember from LinAlg how to do it...

    Hope one of you wizes out there can help me =)
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  2. #2
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    Solved

    This issue has been solved.
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