The positiion vectors of two point masses 10 kg and 5 kg are `(3hati+2hatj+4hatk)m and (3hati+6hatj+5hatk)m` respectively. Locate the position of center of mass.

Explanation

We know that `vecr=(m_(1)vecr_(1)+m_(2)vecr_(2))/(m_(1)+m_(2))`
`vecr=(10(3hati+2hatj+4hatk)+5(3hati+6hatj+5hatk))/(10+5)`
`vecr=[3hati+(10)/(3)hatj+(13)/(3)hatk]m.`