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