The equation r(t) = (12 sin t) i + (5 cos t)j + (8t) 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. COLB The velocity vector is v(t) = K. The acceleration vector is a(t) = (i+ j+k. The velocity vector at t=0 written as a product of the speed and direction is v(0) = ((i+j + k). (Type exact answers, using radicals as needed.)

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