Finding Equation of line of intersecting planes

[Larrytsai]

Hey guys,

I just have a general question, How would you find the equation of a line with just the equations of the planes intersecting. I know for the direction vector it would be the cross product, but for the other part of the equation r=ro +tv, the ro part i do not know how to find.

 

[ystael]

$$r_0$$ is any single point on the line of intersection, which means you just need to find anyone point that lies on both planes.