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MHT CET20225 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The position vector of a point that divides the line segment joining P (1,2,-1) and Q (-1,1,1) externally in the ratio 1: 2 , is

Options

  1. A3 i -3 k
  2. B3 i +3 j -3 k
  3. C-3 i +3 k
  4. D3 i + j +3 k

Correct answer

B. 3 i +3 j -3 k

Step-by-step solution

Using section formula for external division aligned & ( 1 (-1)-2 1 1-2 , 1 1-2 2 1-2 , 1 1-2 (-1) 1-2 ) (3,3,-3) & 3 i +3 j -3 k aligned

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