There's a concept we have to learn for Calculus III that involves finding multiple potential planes that pass through certain points and that are a certain distance from another point.
In other words, only two points are given, whereas you need three for a plane. The last point is not given, but you are told that either of the possible planes (there can only be two in my understanding) is a certain distance from a single point.
So I suppose I have the following questions:
1) How do you find the distance from a single point to a plane?
2) How do you use that information to develop an equation that will give you both potential planes?
3) If you know of better places to be asking these kinds of conceptual questions, what are they?
My teacher's advice only goes so far as "there are two answers" and "draw a good picture to figure this out", but I'm still not able to come across what needs to be done. Thanks for any and all help you can provide!
P.S. If you need more specific examples or the concepts I have used so far (none of which I can put into a coherent answer, mind you) then I'll try to assist you. I'll also clarify anything that's too vague.