If \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are non-zero vectors such that \(\mathrm{a}\) and \(\mathrm{b}\) are not perpendicular to each other, then the vector \(\mathbf{r}\) which is perpendicular to \(\mathbf{a}\) and satisfying \(\mathrm{r} \times \mathrm{b}=\mathrm{c} \times \mathrm{b}\) is

1. A \(\frac{(\mathbf{a} \times \mathbf{b}) \times \mathbf{c}}{\mathbf{c} \cdot \mathbf{a}}\)
2. B \(\frac{\mathbf{b} \times(\mathbf{a} \times \mathbf{c})}{\mathbf{b} \cdot \mathbf{c}}\)
3. C \(\frac{(\mathbf{b} \times \mathbf{c}) \times \mathbf{a}}{\mathbf{a} \cdot \mathbf{b}}\)
4. D \(\frac{(\mathbf{c} \times \mathbf{b}) \times \mathbf{a}}{\mathbf{a} \cdot \mathbf{c}}\)