Plane Bisecting Two Intersecting Planes

Plane Bisecting Two Intersecting Planes

For two intersecting planes:

$$P_1=A_1x+B_1y+C_1z+D_1=0$$

and:

$$P_2=A_2x+B_2y+C_2z+D_2=0$$

the angle-bisector planes satisfy:

$$\frac{P_1}{\sqrt{A_1^2+B_1^2+C_1^2}}=\pm\frac{P_2}{\sqrt{A_2^2+B_2^2+C_2^2}}$$

Usage

- Used to obtain the two planes that bisect the angles between two intersecting planes.