Final answer:
The equation of the surface that is equidistant from a point and a plane can be found using the distance formula.
Step-by-step explanation:
The equation of the surface that is equidistant from a point and a plane can be found using the distance formula. Let's say the point is (x0, y0, z0) and the equation of the plane is Ax + By + Cz + D = 0. The equation of the surface that is equidistant from the point and the plane is given by:
Ax + By + Cz + D / sqrt(A^2 + B^2 + C^2) = sqrt((x-x0)^2 + (y-y0)^2 + (z-z0)^2)
Where A, B, C, and D are coefficients of the plane equation and (x, y, z) represents a point on the surface.