Let $$A$$ and $$B$$ denote the statements A: $$\cos\alpha + \cos\beta + \cos\gamma = 0$$ B: $$\sin\alpha + \sin\beta + \sin\gamma = 0$$ If $$\cos(\beta - \gamma) + \cos(\gamma - \alpha) + \cos(\alpha - \beta) = -\frac{3}{2}$$, then

A

$$A$$ is true and $$B$$ is false

B

$$A$$ is false and $$B$$ is true

C

both $$A$$ and $$B$$ are true

D

both $$A$$ and $$B$$ are false