I'm reviewing some of our home work for our midterm this Monday and when I was reading the section on vector functions the part of the directions that kind of lost me is when they said:

"...Write the particle's velocity at that time as the product of its speed and direction."

$\displaystyle

(e^-^t )i +(2 cos3t)j+(3 sin 2t)k , t=0

$

I found the velocity vector $\displaystyle (-e^-^t )i +(-6 sin 3t)j+(-6 cos 2t)k $

and at time t=0 I found that is $\displaystyle -1i + 0j - 6k $

Then found the accelertion vector $\displaystyle (e^-^t )i +(-18 cos3t)j+(-18 sin 2t)k $

and at time t=0 I get $\displaystyle 1i-18j+0k $

..My question is : What am I suppose to write down when it asks to write the particles velocity as a product of its speed and direction?