If $$\vec{a}$$, $$\vec{b}$$, $$\vec{c}$$ are three non-zero vectors and $$\hat{n}$$ is a unit vector perpendicular to $$\vec{c}$$ such that $$\vec{a} = \alpha\vec{b} - \hat{n}$$, $$\alpha \neq 0$$ and $$\vec{b} \cdot \vec{c} = 12$$, then $$\vec{c} \times \vec{a} \times \vec{b}$$ is equal to:

A

$$15$$

B

$$9$$

C

$$12$$

D

$$6$$