I am not here to ask a question directly out of the book, but rather I want someone to explain to me something about spans in linear algebra.(adsbygoogle = window.adsbygoogle || []).push({});

I realize that spans basically are just the area/region in which vectors can occupy based on different scalars. However, I don't understand how a vector with 3 components can create a "plane" rather than 3 dimensional space. I realize that two vectors can lie on the same plane, but shouldn't the span allow to vectors to occupy spaces above and below the plane as well?

Thanks,

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# Linear Algebra Spans Question

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