Let the vectors (2+a+b)^i+(a+2b+c)^j−(b+c)^k, (1+b)^i+2b^j−b^k and (2+b)^i+2b^j+(1−b)^k, a,b,c ∈Rbe co-planar. Then which of the following is true ?

Let the vectors (2+a+b)^i+(a+2b+c)^j−(b+c)^k, (1+b)^i+2b^j−b^k and

1.	Let the vectors (2+a+b)^i+(a+2b+c)^j−(b+c)^k, (1+b)^i+2b^j−b^k and (2+b)^i+2b^j+(1−b)^k, a,b,c ∈Rbe co-planar. Then which of the following is true ?
Answer» Let the vectors $(2 + a + b)^i + (a + 2 b + c)^j - (b + c)^k,$ $(1 + b)^i + 2 b^j - b^k$ and $(2 + b)^i + 2 b^j + (1 - b)^k,$ $a, b, c \in R$ be co-planar. Then which of the following is true ?