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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)
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