Find the vector and cartesian equations of the planes

that passes through the point (1, 0, –2) and the normal to the plane is

Let the position vector of the point

Normal⊥to the plane

Vector eq. of the plane,

x – 1 + y – z – 2 = 0

x + y – z – 3 = 0

Required Cartesian eq. of the plane

x + y – z = 3