Answer :

Equation of plane through the line of intersection of two planes in vector form is

(1)


Where the standard equation of planes are



Putting values in equation (1)



(2)


For the equation of plane Ax + By + Cz=D and point (x1,y1,z1), a distance of a point from a plane can be calculated as










Putting value of λ in equation (2)


λ=1




λ=-1




For equations in Cartesian form put



For λ=1



x.2 + y.1 + z.(-2)-3=0


2x + y-2z-3=0


For λ=-1



x.1 + y.2 + z.(-2) + 3=0


x + 2y-2z + 3=0





In Cartesian form are 2x + y-2z-3=0 & x + 2y-2z + 3=0


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