Correct Answer - a
A vector perpendicular to the plane of O , P and Q is
` vec(OP) xx vec(OQ) `
Now, `vec(OP) xx vec(OQ) = |{:(hati,hatj,hatk),(4,1,lambda),(2,-1,lambda):}|`
` = 2lambda hati - 2hatj - 6hatk`
therefore, `hatim -hatj + 6hatk` is parallel to
`2lambda hati - 2lambdahatj - 6hatk`
Hence, `1/(2lambda) = (-1)/(-2lambda) = 6/(-6)`
`lambda = -1/2`