The position co-ordinates of two particles of masses m_{1}Â and m_{2}are (x_{1}, y_{1}, z_{1}) and (x_{2}, y_{2}, z_{2}) respectively. Find the coordinates of the centre of mass.
The position vectors of masses m_{1}Â and m_{2}Â are respectively,
Let the position coordinates of the centre of mass be (X, Y, Z).
Therefore the position vector of centre of mass is,
Since, Â Â
Â
Comparing the coefficients of Â , we get
Â
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