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MHT CET202124 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

The vectors AB =3 i +4 k and AC =5 i -2 k +4 k are the sies of a triangle ABC . The length of the median through A is

Options

  1. A33 unit
  2. B288 unit
  3. C18 unit
  4. D72 unit

Correct answer

A. 33 unit

Step-by-step solution

Let A be the origin. Then B =(3,0,4) and C =(5,-1,4) Mid point of BC = ( 3+5 2 , 0-2 2 , 4+4 2 ) i.e. (4,-1,4) Length of medium = (4)^2+(-1)^2+(4)^2 = 33

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