Let $$\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}$$, $$\vec{b} = \hat{i} - \hat{j} + 2\hat{k}$$ and $$\vec{c} = 5\hat{i} - 3\hat{j} + 3\hat{k}$$, be three vectors. If $$\vec{r}$$ is a vector such that, $$\vec{r} \times \vec{b} = \vec{c} \times \vec{b}$$ and $$\vec{r} \cdot \vec{a} = 0$$, then $$25|\vec{r}|^2$$ is equal to

A

560

B

339

C

449

D

336