Give a vector parametric equation for the line $\ell$ that passes through the point $\left<-3,2,-1\right>$, parallel to the line parametrized by $\left<3t-3,1+5t,-3\right>$:

$\ell$ is parallel to the vector

$\ell$ may be parametrized by $tv+P$ where $v$= and $P$ =

Thus $\ell$ satisfies the parametric equation

$L(t)$ = .

Note: vectors are put in using the notation $<x,y,z>$ or xi+yj+zk, points use the (x,y,z) notation.