Construct a plane parallel to a line and measure their separation

Line l is $x-a=y+2=(z+5)/5$, and plane p1 is $3x+2y-z=4$. Plane p1 contains l.

(i) Show a=1.2 marks

Plane p2 passes through E=(−2,−5,8) and meets p1 in l.

(ii) Find the Cartesian equation of p2.3 marks

(iii) Find N, the perpendicular foot from E to p1.3 marks

Plane p3 contains E,N and does not intersect l.

(iv) Find its Cartesian equation. Hence find the distance from l to p3.4 marks