For a triangle $$ABC$$, the value of $$\cos 2A + \cos 2B + \cos 2C$$ is least. If its inradius is 3 and incentre is $$M$$, then which of the following is NOT correct?

A

Perimeter of $$\triangle ABC$$ is $$18\sqrt{3}$$

B

$$\sin 2A + \sin 2B + \sin 2C = \sin A + \sin B + \sin C$$

C

$$\vec{MA} \cdot \vec{MB} = -18$$

D

area of $$\triangle ABC$$ is $$\frac{27\sqrt{3}}{2}$$