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Question

Three particles, each of mass m, are placed at the corners of right angled triangle as shown in Fig. If OA=a and OB=b, the position vector of the centre of mass is (here i and j are unit vectors along x and y axes respectively).

  1. fraction numerator 1 over denominator 3 end fraction left parenthesis a i plus b j right parenthesis    
  2. fraction numerator 1 over denominator 3 end fraction left parenthesis a i minus b j right parenthesis    
  3. fraction numerator 2 over denominator 3 end fraction left parenthesis a i plus b j right parenthesis    
  4. fraction numerator 2 over denominator 3 end fraction left parenthesis a i minus b j right parenthesis    

The correct answer is: fraction numerator 1 over denominator 3 end fraction left parenthesis a i plus b j right parenthesis

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