Linear Algebra Question - Two Planes

[carlodelmundo]

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?

 

[Dick]

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?

What's the 'edge' of a plane? I thought planes were unbounded and didn't have 'edges'?

 

[carlodelmundo]

Oh. Right. I forgot that went infinite. The darn diagrams make it look like they have edges!

 

[Dick]

Oh. Right. I forgot that went infinite. The darn diagrams make it look like they have edges!

Tough to draw a picture of a plane without edges. Try to sympathise with the illustrators and forgive their lapses.