Between the following two statements : Statement \(-I\) : Let \(\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}\) and \(\vec{b}=2 \hat{i}+\hat{j}-\hat{k}\). Then the vector \(\vec{r}\) satisfying \(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{r}}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}\) and \(\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{r}}=0\) is of magnitude \(\sqrt{10}\). Statement \(-II\) : In a triangle \(A B C, \cos 2 A+\cos 2 B\) \(+\cos 2 \mathrm{C} \geq-\frac{3}{2}\)

1. A  Both Statement \(-I\) and Statement \(-II\) are incorrect
2. B  Statement \(-I\) is incorrect but Statement \(-II\) is correct
3. C  Both Statement \(-I\) and Statement \(-II\) are correct
4. D  Statement \(-I\) is correct but Statement \(-II\) is incorrect