allenzzzxd
New member
- Joined
- Dec 6, 2010
- Messages
- 2
Hello everyone,
I had this question:
Prove that any line joining two points lying in opposite half-spaces determined by a hyperplane in Rn intersects the hyperplane.
I think that I can say that in this case, the line just has one of the 2 relations with the hyperplane, intersection or parallel. Then maybe I could use proof by contradiction to prove that parallel is not possible? I don't know how to prove this.
Could anyone please light me? Many thanks in advance.
Allen
I had this question:
Prove that any line joining two points lying in opposite half-spaces determined by a hyperplane in Rn intersects the hyperplane.
I think that I can say that in this case, the line just has one of the 2 relations with the hyperplane, intersection or parallel. Then maybe I could use proof by contradiction to prove that parallel is not possible? I don't know how to prove this.
Could anyone please light me? Many thanks in advance.
Allen