Question

Three lines are given by

r = λi,λ∈ R

r =μ (i+j), μ∈ R and

r = v(i+j+k),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 (6Δ)² equals _____

Answer 1

Finding point A

Similarly for point B