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MHT CET20249 May 2024Evening ShiftMathematicsVector AlgebraActual

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

Correct answer

A. =1, =1

Step-by-step solution

Since a bisects the angle between b and c . The equation of bisector of b and c is aligned & a = ( b + c ) & i +2 j + k = ( i + j 2 + j + k 2 ) aligned i +2 j + k = 2 ( i +2 j + k ) On comparing, we get = 2 , 2= 2 and = 2 =1, =1

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