jee-main 2022 Q77

jee-main · India · session2_29jul_shift2 Vectors 3D & Lines Normal Vector and Plane Equation
If $(2, 3, 9)$, $(5, 2, 1)$, $(1, \lambda, 8)$ and $(\lambda, 2, 3)$ are coplanar, then the product of all possible values of $\lambda$ is
(1) $\frac{21}{2}$
(2) $\frac{59}{8}$
(3) $\frac{57}{8}$
(4) $\frac{95}{8}$
If $(2, 3, 9)$, $(5, 2, 1)$, $(1, \lambda, 8)$ and $(\lambda, 2, 3)$ are coplanar, then the product of all possible values of $\lambda$ is\\
(1) $\frac{21}{2}$\\
(2) $\frac{59}{8}$\\
(3) $\frac{57}{8}$\\
(4) $\frac{95}{8}$