MHT CET20225 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual
The angle between the lines r =(3 i +2 j -4 k )+ ( i +2 j +2 k ) and r =(5 i -2 k )+ (3 i +2 j +6 k )
Options
- A⁻¹ ( 20 21 )
- B⁻¹ ( 4 21 )
- C⁻¹ ( 16 21 )
- D⁻¹ ( 19 21 )
Correct answer
D. ⁻¹ ( 19 21 )
Step-by-step solution
aligned & Required angle = ⁻¹ ( ( i +2 j +2 k ) (3 i +2 j +6 k ) 1^2+2^2+2^2 3^2+2^2+6^2 ) & [ = ⁻¹ ( a b | a || b | ) ] & = ⁻¹ ( 1 3+2 2+2 6 3 7 ) & = ⁻¹ ( 19 21 ) aligned