Question 2

Verify that $\mathbf{a} \cdot (\mathbf{b} \times \mathbf{c}) = \mathbf{b} \cdot (\mathbf{c} \times \mathbf{a}) = \mathbf{c} \cdot (\mathbf{a} \times \mathbf{b})$ If $\mathbf{a} = 3\mathbf{i} - \mathbf{j} + 5\mathbf{k};\; \mathbf{b} = 4\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}$ and $\mathbf{c} = 2\mathbf{i} + 5\mathbf{j} + \mathbf{k}$.