Hello,

can someone help me get started on this?

How can i show that u = (-1,1,0,2) is orthogonal to the subspace spanned by the vectors w1=(0,0,0,0) w2=(1,-1,3,0) w3=(4,0,9,2)

how would I set this up..

Thanks!

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- Nov 24th 2010, 06:47 PMl flipboi lDetermine wether 'u' is orthogonal to span(w)
Hello,

can someone help me get started on this?

How can i show that u = (-1,1,0,2) is orthogonal to the subspace spanned by the vectors w1=(0,0,0,0) w2=(1,-1,3,0) w3=(4,0,9,2)

how would I set this up..

Thanks! - Nov 24th 2010, 08:17 PMmath2009
$\displaystyle <\vec{u}~,~\vec{w}_i>=0$

- Nov 25th 2010, 02:28 AMHallsofIvy
That is, a vector $\displaystyle \vec{u}$ is orthogonal to the span of a set of vectors if and only if it is orthogonal to each vector in the set.