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    Charecteristics of a curve

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    Let a,b and w be positive constants.
    Let g(t) = (a cos (wt) , a sin(wt) , bt) t>0

    Find explicitly the arc length parametrization h(s) of the curve
    Find the unit tangent and principle normal vectors at an arbitrary point h(s)
    Find the curvature k(s)

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    The paremetrization curve is:

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    The 4 pages file contains an exhaustive solution of the problem of curve parametrization.