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Three lines are given by →r=λ^i, λ∈R →r=μ(^i+^j), μ∈R →r=ν(^i+^j+^k) ν∈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 △ then the value of(6△)2 equals

Answer» Three lines are given by
→r=λ^i, λ∈R
→r=μ(^i+^j), μ∈R
→r=ν(^i+^j+^k) ν∈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 △ then the value of(6△)2 equals


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