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
Create a free account to view solution
View Solution FreeMore Introduction to 3D Questions
The equation of the plane through intersection of planes x + 2y + 3z = 4 and 2x + y − z = − 5 and perpendicu...If zx plane divides the line joining the points (1, −1, 5) and (2, 3, 4) in the ratio l :1 then l equals to −...OABC is a tetrahedron whose vertices are O (0, 0, 0) ; A (a, 2, 3); B (1, b, 2) and C (2, 1, c) if its centroid is (1, 2...A line passing through the point (− 5, 1, 3) and (1, 2, 0) is perpendicular to the line passing through the point ...Consider the plane = d1 and = d2, then which of the following are true -...