I have been trying to find the equation of the intersection line between two planes, and was trying some things. The first thing I tried was to just put an equal sign between the two plane equation. I found out the correct way to calculate the intersecting line (). But now I wonder what the resulting plane represents and if it represents anything.
Example:
$8x+6y+3z-30=0$
$10x-2y-4z-10=0$
$8x+6y+3z-30=10x-2y-4z-10$
results in:
$-2x+8y+7z-20=0$
So now I wonder what the relation between this final plane and the two above is.