A parametric position vector has the definition 33(15): cos(t)i + sin(t)j + 5H}, t2 0. i) Show that the position vector and velocity vector are never perpendicular for t > 0. ii) Show that the velocity vector and acceleration vector are always perpendicular. iii) Use the cross product to compute a vector t) that is perpendicular to the position and velocity vectors. Specify the domain D for which the relationship holds. For any t Z O that are not an element of D, explain why the relationship does not hold