(a) Find a vector parallel to the line of intersection of the planes $-3 x + y - 3 z = -5$ and $-3 x + 2 y - z = -2$.
$\vec v =$

(b) Show that the point $\left(1,1,1\right)$ lies on both planes. Then find a vector parametric equation for the line of intersection.
$\vec r(t) =$