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#1 2015-05-04 23:45:00
- Shelled
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- Registered: 2014-04-15
- Posts: 44
Vectors
Prove that given any two vectors the following holds:
||u| - |v|| <= |u-v|
Hint start with u = u - v + v
I know that I'll need to use the triangular inequality at some point, however, not sure how to start it off.
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#2 2015-05-05 06:51:40
- Olinguito
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- Registered: 2014-08-12
- Posts: 649
Re: Vectors
[list=*]
[*]
[/list]
Now interchange u and v and get
[list=*]
[*]
[/list]
Result follows.
Bassaricyon neblina
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#3 2015-05-05 10:14:34
- Shelled
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- Registered: 2014-04-15
- Posts: 44
Re: Vectors
Why is it that u = u - v + v can be written as the length and absolute value?
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