1.

The vectors (a,a+1, a+2)(a+3, a+4, a+5)(a+6, a+7, a+8) are coplanar for

Answer»

`AA a in R`
`AA a cancel in R`
`a = sqrt(-3)`
None of these

Solution :VECTORS `(a, a+1, a+2), (a+3, a+4,a+5) and (a+6, a+7,a+8) ` are coplanar.
`therefore |(a, a+1,a+2),(a+3, a+4, a+5), (a+6, a+7, a+8)|=0`
On applying `C_(2) to C_(2) - C_(1) and C_(3) to C_(1)`, we get
`|(a,1,2),(a+3,1,2),(a+6,1,2)|=0`
HENCE, vectors are coplanar, `AA a in R`.


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