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