Curve parametrizations

Find the vectors

T, N and B as well as the curvature  and the torsion  for the curve

r(t) = e^t cos t i + e^t j + e^t sin t k

I calculated e^t = (4/3)s.. Is there any way i can get t = "something" from this equation because i need to parametrize the above curve in terms of the arc length "s"

Quote:

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Originally Posted by SirOJ

Find the vectors

T, N and B as well as the curvature  and the torsion  for the curve

r(t) = e^t cos t i + e^t j + e^t sin t k

I calculated e^t = (4/3)s.. Is there any way i can get t = "something" from this equation because i need to parametrize the above curve in terms of the arc length "s"

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Well, yes! If then t= ln((4/3)s which you can, if you like, write as t= ln(s)+ ln(4/3)= ln(s)+ ln(4)- ln(3).