The position vector for a particle moving on a helix is c(t) = (3 cos(t), 2 sin(t), t²). (a) Find the speed of the particle at time to = 4. 25.21 X (b) Is c'(t) ever orthogonal to c(t)? O Yes, when t is a multiple of . Yes, when t = 0. O No (c) Find a parametrization for the tangent line to c(t) at to = 47. (Enter your answer as a comma-separated list of equations in (x, y, z) coordinates.) (d) Where will this line intersect the xy-plane? (x, y, z) = = (

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