The discussion revolves around the intersection of two planes in linear algebra, specifically questioning the nature of their solutions and geometric representation.
Participants are engaged in clarifying their understanding of the properties of planes and their intersections. There is an acknowledgment of the challenges in visualizing planes without edges, and some guidance is offered regarding the nature of geometric representations.
There is a mention of diagrams that may mislead perceptions of planes having edges, which raises questions about the assumptions underlying their geometric interpretations.
carlodelmundo said:Homework Statement
http://carlodm.com/images/math1.png
My question is:
Isn't it possible for two planes to have one solution? Geometrically, what if their edges were touching and that was the extent of their intersection?
carlodelmundo said:Oh. Right. I forgot that went infinite. The darn diagrams make it look like they have edges!