The vectors (2,1,1), (1,1,1) and (1,2,2) and
are
Linearly dependent
-Symmetric
Linearly independent
Orthogononal
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There are many situations when we might wish to know whether a set of vectors is linearly dependent, that is if one of the vectors is some combination of the others. If u and v are linearly independent, then the only solution to this system of equations is the trivial solution, x=y=0.
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