Hi,

Could someone explain to me why the set of all elements of R^3 with the first component of 1 is not a real vector space? I'm lost on this one. Thanks,

Kim

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- Jun 20th 2008, 11:34 AMKim NuVector Space question
Hi,

Could someone explain to me why the set of all elements of R^3 with the first component of 1 is not a real vector space? I'm lost on this one. Thanks,

Kim - Jun 20th 2008, 11:43 AMflyingsquirrel
- Jun 20th 2008, 11:43 AMCaptainBlack
- Jun 20th 2008, 11:44 AMo_O
Consider vectors: and .

One of the axioms state that if u and v are vectors in your vector space, then so should u + v. However:

which does not belong in your vector space.