Let $\mathbf{a} = \begin{pmatrix} 4 \\ \sqrt{\pi} \\ -14 \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} -1 \\ 3 \\ 10 \end{pmatrix}.$  Compute $\mathbf{a} \cdot (\mathbf{a} \times \mathbf{b}).$
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Let $\mathbf{a} = \begin{pmatrix} 4 \\ \sqrt{\pi} \\ -14 \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} -1 \\ 3 \\ 10 \end{pmatrix}.$  Compute $\mathbf{a} \cdot (\mathbf{a} \times \mathbf{b}).$
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Let $\mathbf{a} = \begin{pmatrix} 4 \\ \sqrt{\pi} \\ -14 \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} -1 \\ 3 \\ 10 \end{pmatrix}.$  Compute $\mathbf{a} \cdot (\mathbf{a} \times \mathbf{b}).$
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