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The position vectors of two masses of 6 ...

The position vectors of two masses of 6 and 2 units are 6i-7j and 2i+5j-8k respectively. Deduce the position of their centre of mass.

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Here `m_(1)` = 6 units, its position vector `vecr_(1)= 6hati-7hatj" "m_(2)`=2 units, its position vector `vecr_(2)= 2hati+5hatj-8hatk`
The position vector of the centre of mass of the two masses,
`vecr_("cm")=(m_(1)vecr_(1)+m_(2)vecr_(2))/(m_(1)+m_(2))`
`=(6(6hati-7hatj)+2(2hati+5hatj-8hatk))/(6+2)=5hati-4hatj-2hatk`
So, the coordinates of the centre of mass are (5,-4,-2).
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