The position vectors of points A and B are a vector and b vector respectively.
P divides AB in the ratio 3 : 1 and Q is mid-point of AP. Find the position
vector of Q.

Asked by pradip kumar | 5th Dec, 2014, 09:36: AM

Expert Answer:

Co minus ordinates space of space straight P space equals space fraction numerator 3 left parenthesis straight a right parenthesis plus 1 left parenthesis straight b right parenthesis over denominator 3 plus 1 end fraction equals fraction numerator 3 straight a plus straight b over denominator 4 end fraction Co minus rodinates space of space straight Q space equals space open parentheses fraction numerator begin display style fraction numerator 3 straight b plus straight a over denominator 4 end fraction end style plus straight a over denominator 2 end fraction close parentheses equals fraction numerator 3 straight b plus straight a plus 4 straight a over denominator 4 cross times 2 end fraction equals fraction numerator 3 straight b plus 5 straight a over denominator 8 end fraction Position space vector space of space straight Q space equals space fraction numerator 3 straight b plus 5 straight a over denominator 8 end fraction

Answered by Prasenjit Paul | 5th Dec, 2014, 10:06: AM

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