document.write( "Question 964561: If {vector u, vector v, vector w} is linearly independent then u, v, and w are not in R^2 (2 space). True or false? and why? Thanks for your help! \n" ); document.write( "

Algebra.Com's Answer #589444 by Fombitz(32388) $\"\"$ $\"About$

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True, because if u,v, and w are in R2, then you could write w as a linear combination of u and v, which would make it a linearly dependent system. So u, v, and w cannot be in R2.
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