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I was wondering, if I have two vectors each with three components, this is not sufficient to define all of R3, but it defines a subspace.

Does this subspace have to be a plane?

I think it does, but I am having difficulty visualising it or describing it. I think I can ascertain that if there are two vectors with three components, then once two of the "outputs" are given values, the third is also determined and is not free to vary. (This is complicated by collinear vectors, which I am trying not to consider.)

So if I have two vectors and three components, how do I determine if it is a plane that is formed?

This is frsutrating to no end!

Thanks in advance.

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# Homework Help: Two vectors, three components

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