Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Intersecting Subspaces in N dimensions

  1. Aug 22, 2004 #1
    Hey guys,

    I have a little problem here:

    given two subspaces U and W both of dimension two of an N dimensional space show in general that if N = 3 the intersection of U and W forms a curve; if N = 4 a finite number of points; and N > 4 they do not in general intersect at all.

    I can kind of visualize the answer for the first two cases based on analagous cases lines viewed in R2 and R3, but I am not really satisfied with the answers.

    I would like a really rigorous maths proof.

    please help!
  2. jcsd
  3. Aug 22, 2004 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Please don't double post
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook