The two girls, Sophie and Jansie, were already destined for a job in the biscuit factory and it was likely that they would work there after school.
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?