By definition, the radius-vector of the center of mass is given by the formula:
R=∑mi∑rimi where
r1m1=(−1,2,3)⋅5kg=(−5,10,15) (kg) is the product of the radius-vector and the mass of the first particle, and
r2m2=(2,4,6)⋅7kg=(14,28,42) (kg) - the same for the second mass
r3m3=(3,−2,5)⋅8kg=(24,−16,40) (kg) - the same for the third mass.
The summation is over all particles, thus, obtain:
R=5+7+8(−5,10,15)+(14,28,42)+(24,−16,40)=201(33,22,97)=(1.65,1.1,4.85)
Answer. (1.65,1.1,4.85)
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