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If $\mathbf{a}$ and $\mathbf{b}$ be parallel vectors, then [$\mathbf{a} \mathbf{c} \mathbf{b}]$ =
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$\quad \mathbf{a} \cdot(\mathbf{c} \times \mathbf{b})=\mathbf{c} .(\mathbf{b} \times \mathbf{a})=0$, (Since $\mathbf{a}$ and $\mathbf{b}$ are parallel)
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