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 $R^2$?
Why do we say that two vectors in $R^3$ cannot span $R^2$?
2
$\begingroup$
linear-algebra
-
0Who says that we "can’t say that"? – 2012-12-03
-
2Probably his linear algebra professor :) – 2012-12-03
-
1His linear algebra prof....or any other mathematician, of course. – 2012-12-03