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Let $\mathbf{u}=(-3,1,2), \mathbf{v}=(4,0,-8)$, and $\mathbf{w}=(6,-1,-4)$. Find the components of (a) $\mathbf{v}-\mathbf{w}$ (b) $6 \mathrm{u}+2 \mathbf{v}$ (c) $-3(\mathbf{v}-8 \mathbf{w})$ (d) $(2 \mathbf{u}-7 \mathbf{w})-(8 \mathbf{v}+\mathbf{u})$
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