Question

find the angle between the lines x-1/1=y-1/1=z-1/2 and x-1/-√3 -1 =y-1/√3 -1 =z-1/4 is

Answer 1

Answer: 60°

Step-by-step explanation:

Direction Ratios of line 1 are (1, 1, 2)

Direction Ratios of second line are (-√3 -1, √3 -1, 4).

Angle between 2 lines whose dr's are given by (a₁, b₁, c₁) and (a₂, b₂, c₂) is given by, cos(Ф) = (a₁*a₂ + b₁*b₂ + c₁*c₂)/√a₁²+b₁²+c₁²√a₂²+b₂²+c₂².

By simplification, we get cos(Ф) = 1/2, => Ф = 60°