$(8$ points$)$ Let P$=(1,1,0)$ and v$=3$i$-$k$.$

$($a$)(4$ points$)$ Find a parametric description c:RlongrightarrowR$^(3)$ of the line L through P

with direction vector v$.$

$($b$)(4$ points$)$ Let M$=(10,1,-3)$ and N$=(-2,1,1).$ Use part $($a$)$ to determine if

the vector vec$($NM$)$ is parallel to v$.$