"he equation r(t} = (3 cos t} i+ [9 sin t) i + (6t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t = 21: as a product of its speed and direction. "he velocity vector is vt)=[ DI i+ [I Dj+( D k. "he acceleration vector is alt): (ED i+ [D j + (:D k. "he velocity vector at t: 21: written as a product ofthe speed and direction is we [EDIiED \"(ED MED k1 (Type exact answers, using radicals as needed}