Mark the correct alternative in the following:

The equation of the plane containing the two lines

and is

We know, the two lines given as,

will be co - planar if

Here, x₁=1, y₁= - 1, z₁=0, x₂=0, y _�2=2, z₂= - 1 and, A₁=2, B �₁= - 1, C₁=3, A₂= - 2, B �₂= - 3, C₂= - 1.

=[{(( - 1)×( - 1)×( - 1)) + (3×3×( - 2)) + (( - 1)×2×( - 3))} - {(( - 1)×( - 1)×( - 2)) + (3×2×( - 1)) + (( - 1)×( - 3)×3)}]

=[{( - 1) - 18 + 6} - {( - 2) + ( - 6) + 9}]

= - 13 - 1

= - 14

≠ 0

Hence, the two lines are not co - planar.