Following instruction :

Consider the lines $$m = \frac{x + 1}{3} = \frac{x + 2}{1} = \frac{z + 1}{2}$$ and $$n : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$$

The unit vector perpendicular to both m and n is

A

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

B

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

C

$$\frac{-9\hat{i}-7\hat{j}+5\hat{k}}{5\sqrt{3}}$$

D

$$\frac{-\hat{i}-7\hat{j}+5\hat{k}}{\sqrt{75}}$$