Let the vectors $$(2 + a + b)\hat{i} + (a + 2b+c)\hat{j} - (b + c)\hat{k}$$, $$(1 + b)\hat{i}+2b\hat{j}-b\hat{k}$$ and $$(2 + b)\hat{i} + 2b\hat{j} + (1 - b)\hat{k}$$, $$ a, b, c \in R$$ be co-planar. Then which of the following is true?

A

$$2b = a + c$$

B

$$3c = a + b$$

C

$$a = b + 2c$$

D

$$2a = b + c$$