Find the vector and cartesian equations of the planes that passes through the point (1,4, 6) and the normal vector to the plane is

Question

Philoid · Accepted Answer

Let the position vector of the point

Vector eq. of the plane,

x – 1 – 2y + 8 + z – 6 = 0

x – 2y + z + 1 = 0

Required Cartesian eq. of the plane

x – 2y + z = - 1