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