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.

1