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If we have two vectors in $R^3$, $v=(1,2,0)$ and $u=(5,3,0)$, and if we draw these vectors in $R^3$ they will be in the $xy$-plane or $R^2$ and also these two vectors are not multiples of each other then why can’t we say that these vectors span $R^2$?

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    Who says that we "can’t say that"?2012-12-03
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    Probably his linear algebra professor :)2012-12-03
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    His linear algebra prof....or any other mathematician, of course.2012-12-03

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