Is it possible to draw three points that are noncoplanar?
- Thread starter mimi
- Start date
- Joined
- Apr 12, 2005
- Messages
- 11,339
Re: Is it possible to draw three points that are noncoplanar
If you pick the plane and then the three points, maybe. If you pick the points and then the plane that contains them, no. This goes to the definition of coplanar. What EXACTLY do your course materials say for a definition. If it says "there exists a plane" or "some plane" or something nice and general like that, then the first scenario doesn't count. To say they are not on a given plane is one thing. To say there is no such plane is quite another.mimi said:
HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
- Messages
- 7,763
-n by "draw" the points? Obviously you can't draw "there non-planar points" in a plane. But you could set up an three dimensional coordinate system (use the corner between two walls as the z-axis and the seams between the walls and the floor as x an y axes!) and mark the points in that coordinate. Or draw a "projection" of such a coordinate system in a plane (as you in any Calculus text that covers functions of two variables) and mark the points in that. That won't be, strictly speaking, the points but rather their projection.