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AP EAMCET202422 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

The values of x for which the angle between the vectors x^2 i +2 x j + k and i -2 j +x k is obtuse, lie in the interval

Options

  1. A(- , 0) (3, )
  2. B(0,3)
  3. C[0,3]
  4. D(- , 0) [3, )

Correct answer

B. (0,3)

Step-by-step solution

Angle between x^2 i +2 x j + k and i -2 j +x k is aligned & = x^2-4 x+x (x^4+4 x+1 ) (1+4+x^2 ) & = x^2-3 x (x^4+4 x+1 ) (5+x^2 ) aligned Given that angle between these is obtuse is - ve x^2-3 x 0 x (0,3)

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