Introduction to 3DHard
Question
Let 6x + 4y - 5z = 4, x - 5y + 2z = 12 and 
be two lines then -
be two lines then -Options
A.the angle between them must be π/3
B.the angle between them must be cos-1 5/6
C.the plane containing them must be x + y - z = 0
D.they are non-coplanar
Solution
The vector parallel to line of intersection of planes
is λ
= - λ 
= λ
(λ is scalar)
Now angle between the lines
cos θ =
⇒ θ = π/3
is λ
= - λ = λ
(λ is scalar)Now angle between the lines
cos θ =
⇒ θ = π/3
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