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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- June 20th 2008, 12:34 PMKim 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 - June 20th 2008, 12:43 PMflyingsquirrel
- June 20th 2008, 12:43 PMCaptainBlack
- June 20th 2008, 12:44 PMo_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.