I have the following problem, which Google has not yet been able to answer.
I have the equations to two lines in 3D space. I also have the co-ordinates of a single point on each line. I can therefore find the co-ordinates of a third point on either line and compute the equation to a plane that contains both lines.
Now what I need to do is to compute the equation to the normal lines to each of these lines so that both normal lines are also on this plane. After this, I need to find the point of intersection of these two lines.
I'd appreciate any help on this topic.
PS: This is my first post on MO, so if I'm violating any MO rules, please point them out so that I can correct my post and not make such a mistake in the future