Assignment:
Let a,b and ω be positive constants.
Let g(t) = (a cos (ωt) , a sin(ωt) , 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).
Provide complete and step by step solution for the question and show calculations and use formulas.