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$\begin{vmatrix} 1 & 1& 1\\ 1 & -2 & 1\\ 3 & -3 & 0 \end{vmatrix} = 9\neq 0$   Hence Linearly Independent

for pairwise orthogonal 1*3+(-2*-3)+0=9 $\neq 0$ hence not pairwise orthogonal

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