+226
Let a,b,c be vectors such that \(\mathbf{a} \times \mathbf{b} = \begin{pmatrix} -1 \\- 1 \\ -1 \end{pmatrix}, \mathbf{a} \times \mathbf{c} = \begin{pmatrix} -1 \\ 2 \\ 1 \end{pmatrix}, \text{ and } \mathbf{b} \times \mathbf{c} = \begin{pmatrix} 0 \\ 2 \\ 3 \end{pmatrix}\)
Then evaluate \((\mathbf{b} + \mathbf{c})\times \mathbf{b}, \mathbf{a}\times(\mathbf{b} + 4 \mathbf{a}), (\mathbf{a} + \mathbf{b} + \mathbf{c})\times \mathbf{a}\)
