Vector Algebra

Let \(\mathbf{a}=\hat{\mathbf{i}}\) and \(\mathbf{b}=\hat{\mathbf{j}}\), the point of intersection of the lines \(\mathbf{r} \times \mathbf{a}=\mathbf{b} \times \mathbf{a}\) and \(\mathbf{r} \times \mathbf{b}=\mathbf{a} \times \mathbf{b}\) is