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#1 2015-05-04 23:45:00

Shelled
Member
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
Member
Registered: 2014-08-12
Posts: 649

Re: Vectors

Now interchange u and v and get

Result follows.


Bassaricyon neblina

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#3 2015-05-05 10:14:34

Shelled
Member
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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