MHT CET202016 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual
The angle between the linee r =(i+ j - k )+ (3 i+ j ) and the plane 2+3 k )=8
Options
- A⁻¹ ( 2 7 5 )
- B⁻¹ ( 3 7 5 )
- C⁻¹ ( 5 2 7 )
- D⁻¹ ( 7 3 5 )
Correct answer
C. ⁻¹ ( 5 2 7 )
Step-by-step solution
(D) The angle between the line r = a + b and the plane r - n = dr is = | b n | b | | n | | Here b =3 i + j and n = i +2 j +3 k aligned b n &=(3 i + j )( i +2 j +3 k )=3+2+0=5 | ~b | &= 3²+1² = 10 and | n |= 1²+2²+3² = 14 &= | b n | b | | n | |= | 5 10 14 | = 5 2 7 = ⁻¹ ( 5 2 7 ) aligned