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MHT CET202020 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The angle between the line r =( +2 - k )+ ( - + k ) and the plane r (2 - + k )=4 is

Options

  1. A⁻¹ ( 2 3 )
  2. B⁻¹ ( 3 2 )
  3. C⁻¹ ( 2 2 3 )
  4. D⁻¹ ( 2 3 )

Correct answer

C. ⁻¹ ( 2 2 3 )

Step-by-step solution

The angle between the line r = a + b and the plane r n =p is given by = b n | b | | n | Here b = i - j + k and n =2 i - j + k b n =1(2)+(-1)(-1)+1(1)=4| b |= 1+1+1 = 3 and | n |= 4+1+1 = 6 = 3 2 = 4 3 3 2 = 2 2 3 = ⁻¹ ( 2 2 3 )

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