MHT CET202016 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual
The angle between the lines r =( +2 +3 k )+ ( + +2 k ) and r =(3 + k )+ ^ (2 + - k ), , ^ R is
Options
- A⁻¹ ( 1 6 )
- B⁻¹ ( 1 5 )
- C⁻¹ ( 1 3 )
- D⁻¹ ( 2 3 )
Correct answer
A. ⁻¹ ( 1 6 )
Step-by-step solution
(B) The direction ratios of the lines are 1,1,2 and 2,1,-1 and let be the angle between them aligned &= | (1)(2)+(1)(1)+2(-1) 1+1+4 4+1+1 | &= | 1 6 6 |= 1 6 = ⁻¹ ( 1 6 ) aligned