Let E = span{v1, v2} be the linear subspace of R3 spanned by the vectors v1 = (0,1,-2) and v2 = (1, 1, 1). Find numbers a, b, c so that(adsbygoogle = window.adsbygoogle || []).push({});

E = {(x, y, z) of R3 : ax + by + cz = 0}

I tried doing this question, but I am totally lost. I know that any vector in E can be represented as a linear combination of v1 and v2, but then how do I interpret (x, y, z) in terms of v1 and v2? @.@

If someone could please give me an idea of how I should be going about with the solution, I'd really appreciate it! I dont need a full solution, just an idea of how to do the question.

THANKS!!!

and please help! T.T

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# Connection of linear equation to span.

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