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

Triangle inequality

  1. May 1, 2005 #1
    Does the triangle inequality hold true for three vectors that says the norm(u+v+w)<=norm(u)+norm(v)+norm(w)......true or false
     
  2. jcsd
  3. May 1, 2005 #2
    true because norm(u+v+w) = norm( (u+v)+w)
    <= norm(u+v) + norm(w)
    <= (norm(u) + norm(v)) + norm(w)
    <= norm(u) + norm(v) + norm(w)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Triangle inequality
  1. Proof- triangles (Replies: 5)

  2. Transform triangle (Replies: 1)

  3. Matrix inequality (Replies: 1)

Loading...