Question: 7. (20 points) Consider the Helix given by: (a cost, a sint, bt) with a, b > 0 (a) sketch the graph, label t =

7. (20 points) Consider the Helix given by: (a cost, a

7. (20 points) Consider the Helix given by: (a cost, a sint, bt) with a, b > 0 (a) sketch the graph, label t = 0, t = 1/2, t = -T/2 and the motion as tA too. (b) Find the unit tangent vector T(t) = r' (t) Ir (t) 1 (c) Find the unit normal vector N(t) = T'(t) IT' (t) 1 (d) Find the curvature: k = IT'(t)| [r'xr" Tr' (t) 1 (e) Find the unit binormal B = T x N

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