The coordinates of the positions of particles of mass $7,\,4{\rm{  and 10}}\,gm$ are ${\rm{(1,}}\,{\rm{5,}}\, - {\rm{3),}}\,\,{\rm{(2,}}\,5,7{\rm{) }}$ and ${\rm{(3, 3, }} - {\rm{1)}}\,cm$ respectively. The position of the centre of mass of the system would be

  • A

    $\left( { - \frac{{15}}{7},\frac{{85}}{{17}},\frac{1}{7}} \right){\rm{  }}cm$

  • B

    $\left( {\frac{{15}}{7}, - \frac{{85}}{{17}},\frac{1}{7}} \right){\rm{  }}cm$

  • C

    $\left( {\frac{{15}}{7},\frac{{85}}{{21}}, - \frac{1}{7}} \right){\rm{  }}cm$

  • D

    $\left( {\frac{{15}}{7},\frac{{85}}{{21}},\frac{7}{3}} \right){\rm{  }}cm$

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