The unit vector perpendicular to both $$L_1$$ and $$L_2$$ is

A

$$\frac{-\hat{i} + 7\hat{j} + 7\hat{k}}{\sqrt{99}}$$

B

$$\frac{-\hat{i} - 7\hat{j} + 5\hat{k}}{5\sqrt{3}}$$

C

$$\frac{-\hat{i} + 7\hat{j} + 5\hat{k}}{5\sqrt{3}}$$

D

$$\frac{7\hat{i} - 7\hat{j} - \hat{k}}{\sqrt{99}}$$