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AP EAMCET202022 Sep 2020Morning ShiftMathematicsThree Dimensional GeometryActual

If P divides the line segment joining the points A and B in the ratio 2: 1 and the position vectors of A and B are i -2 j and -3 i +5 j respectively, then the position vector of p is

Options

  1. A5 i -8 j 3
  2. B-5 i +8 j 3
  3. C5 i +8 j 3
  4. D-5 i -8 j 3

Correct answer

B. -5 i +8 j 3

Step-by-step solution

It is given that the position vectors of points A and B are O A = i -2 j and O B =-3 i +5 j . So, position vector of point P . Which divides the line segment joining A and B in the ratio 2: 1 is O P = 1( i -2 j )+2(-3 i +5 j ) 1+2 = -5 i +8 j 3

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