Answer :

Formula : Plane = r . (n) = d


Where r = any random point


n = normal vector of plane


d = distance of plane from origin


If two planes are parallel , then their normal vectors are same.


Therefore ,


Parallel Plane r . (i + j + k) = 2


Normal vector = (i + j + k)


Normal vector of required plane = (i + j + k)


Equation of required plane r . (i + j + k) = d


In cartesian form x + y + z = d


Plane passes through point (a,b,c) therefore it will satisfy it.


(a) + (b) + (c) = d


d = a + b + c


Equation of required plane r . (i + j + k) = a + b + c


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