Maths-
General
Easy

Question

If position vectors of a point A is a + 2b and a divides AB in the ratio 2 colon 3, then the position vector of B is

  1. 2a – b    
  2. b – 2a    
  3. a – 3b    
  4. b    

The correct answer is: a – 3b


    If x be the position vector of B, then a divides AB in the ratio 2 : 3.
    a equals fraction numerator 2 x plus 3 left parenthesis a plus 2 b right parenthesis over denominator 2 plus 3 end fraction
    Þ 5 a minus 3 a minus 6 b equals 2 x rightwards double arrow x equals a minus 3 b.

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