How would I determine the line of intersection between plane 1: and plane 2: ?
I don't remember exactly how to do it, and trying to find an explanation online just confused me even more
I was thinking somewhere along the lines of using the cross products of the normals, but I'm not sure what to do after that.
Hello, IanCarney!
I divided the first equation by 2 . . . Don't know why "they" didn't.
Here is a rather primitive method.
Determine the line of intersection of planes: .
Add [1] and [2]: .
Substitute into [1]: .
We have: .
On the right, replace with the parameter
. . . . . . . . .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
We can check our results.
Substitute our answers into [1]:
. . . . . . . . . . .
. .
. . . . .
. - - - - . . . . . . . . . . . . .
Substitute our answers into [2]:
. . . . . . . . . . . .
. .
. . . . .
. . . . . . . . . . . . . . . . .