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JEE Main2008MathematicsThree Dimensional GeometryActual

The vector a = i +2 j + k lies in the plane of the vectors b = i + j and c = j + k and bisects the angle between b and c . Then which one of the following gives possible values of and ?

Options

  1. A=2, =2
  2. B=1, =2
  3. C=2, =1
  4. D=1, =1

Correct answer

D. =1, =1

Step-by-step solution

aligned & a = ( b + c ) & i +2 j + k = ( i +2 j + k 2 ) & = 2 and = 2 and = 2 & =1 and =1 . aligned

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