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Find three vectors in $\mathbb R^3$ which are linearly dependent, and are such that any two of them are linearly independent?

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2 Answers 2

Take two non colinear vectors $u$ and $v$ and the third vector any linear combination of these vectors e.g $u+v$.

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$(0,0,1),(0,1,0)$ and $(0,1,1)$.

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