Triangle inequality

  • Thread starter blinder
  • Start date
  • #1
4
0
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
 

Answers and Replies

  • #2
127
0
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)
 

Related Threads on Triangle inequality

  • Last Post
Replies
1
Views
856
Replies
3
Views
837
Replies
6
Views
1K
  • Last Post
Replies
9
Views
833
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
9
Views
6K
  • Last Post
Replies
6
Views
4K
Top