Find the velocity vector for the position vector r(t)=sin(9t),3t11,e3t\displaystyle \vec{{{r}{\left({t}\right)}}}={\left\langle{\sin{{\left({9}{t}\right)}}},{3}{t}^{{11}},{e}^{{-{3}{t}}}\right\rangle}.

x component =  
y component =  
z component =