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.
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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