Direction Ratios of Intersection of Two Planes

Direction Ratios of Intersection of Two Planes

For planes with normals:

$$\vec n_1=A_1\hat i+B_1\hat j+C_1\hat k$$

and:

$$\vec n_2=A_2\hat i+B_2\hat j+C_2\hat k$$

the direction vector of their intersection line is:

$$\vec d=\vec n_1\times\vec n_2$$

Usage

- Used to obtain the direction ratios of the line formed by two intersecting planes.