Three lines are given by \overrightarrow{r}=\lambda\overrightarrow{i},\lambda\in{\mathbb{R}} r^{\to}=\mu(i^{⋀}+j^{⋀}),\mu\in\mathbb{R} and r^{\to}=v(i^{⋀}+j^{⋀}+k^{⋀}),v\in\mathbb{R} Let the lines cut the plane x+y+z=1 at the points A, B and C respectively. If the area of the triangle ABC is Δ then the value of (6∆)^2 equals______ [JEE Adv 2019 P1]

Three Dimensional Geometry

Section: Mathematics

Question : 11 of 35

Marks: +1, -0

Three lines are given by

→

=λ

→

,λ∈ℝ‌‌‌‌

→

=µ(

⋀

),µ∈ℝ

and

→

=v(

⋀

),v∈ℝ
Let the lines cut the plane x+y+z=1 at the points A, B and C respectively. If the area of the triangle ABC is Δ then the value of (6∆)2 equals______

[JEE Adv 2019 P1]

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