Radical Plane of Two Spheres in General Form

Radical Plane of Two Spheres in General Form

For:

$$S_1=x^2+y^2+z^2+2g_1x+2f_1y+2h_1z+c_1=0$$

and:

$$S_2=x^2+y^2+z^2+2g_2x+2f_2y+2h_2z+c_2=0$$

the radical plane is:

$$2(g_1-g_2)x+2(f_1-f_2)y+2(h_1-h_2)z+(c_1-c_2)=0$$

Usage

- Used to obtain the common radical plane directly from two sphere equations.