Use a plane normal to measure distance and construct a perpendicular plane

The line $l$ passes through $A(-1,2,3)$ and $B(5,14,11)$. The plane $p$ has equation $2x+3y-6z=-7$.

(i) Show $l$ is parallel to, but not contained in, $p$.

(ii) Find the distance of $l$ from $p$.

(iii) Find a Cartesian equation of the plane containing $l$ and perpendicular to $p$.