# Vectors

posted by
**Anonymous** on
.

3 planes; $: x+2y-2z-6=0

%: 2x-y+z+8=0

£: 2x-y+2z+3=0

(a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2)

(ii)Calculate the distance between $ and @

(b)(i)Find the parametric equations for the line of intersection of the planes $ and %

(ii)Find the equations of the spheres tangent to £, radius 2 and whose centres lie on the line with the equation:

x=-2+0€

y=4+1€

z=0+1€

Really confused, so please help!