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

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

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

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