Between the following two statements: Statement I: Let a = i +2 j -3 k and b =2 i + j - k. Then the vector r satisfying a × r = a × b and a · r =0 is…

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