(IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 cos (t), sin when t = n. x = ( )t+ y = ( )t+, z = ( )t+, (V) We know that an associated parametric curve is a circle centered at the origin if r (t) - v (t) = 0 for all values of t, and the curve lies in some plane. [You do not need to show the planar part, but it is easy to do.] Show that this is true for: r (t) = (3 cos (t), 2 cos (t), V13 sin (t) ), 0

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