Let \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) be vectors such that
Then evaluate
\((\mathbf{a} + \mathbf{b})\times \mathbf{c}, \mathbf{a}\times(2\mathbf{b} -3 \mathbf{c}), (\mathbf{a} + 2 \mathbf{c})\times \mathbf{b},(\mathbf{b} + \mathbf{c})\times \mathbf{b}, \mathbf{a}\times(\mathbf{b} + 4 \mathbf{a}), (\mathbf{a} + \mathbf{b} + \mathbf{c})\times \mathbf{a}.\)
