# vectors

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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€

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