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So on to the problem.....

Consider the line spanned by

1

2

3

in [tex]\Re^{3}[/tex] Find a basis of [tex]\bot[/tex]L

So the basis would be the set of all independent column? vectors... Since it's [tex]\Re^{3}[/tex] I would assume that it is at least n x 3? So would I find a vector that when dotted against this would equal 0? :/