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MHT CET20249 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

Let L be the line of intersection of the planes 2 x+3 y+z=1 and x+3 y+2 z=2 . If L makes an angle with the positive X -axis, then equals

Options

  1. A1
  2. B1 2
  3. C1 3
  4. D1 2

Correct answer

C. 1 3

Step-by-step solution

n ₁=2 i +3 j + k and n ₂= i +3 j +2 k The line L is parallel to aligned & n = n ₁ n ₂= | array ccc i & j & k 2 & 3 & 1 1 & 3 & 2 array |=3 i -3 j +3 k & = n i | n || i | = 3 3 3 = 1 3 aligned

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