The equation r(t) = (3 cos t) i+ (3 sin t) j + (t) 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=0 as a product of its speed and direction. i+ The velocity vector is v(t)=+j+k. The acceleration vector is a(t) = (i+j+Dk. The velocity vector at t=0 written as a product of the speed and direction is v(0)=0+j+k. (Type exact answers, using radicals as needed.)