The command CenterOfMass(p1,p2,...,pn) computes the center of mass of the given points, weighted by the corresponding weights.  If a point is given as an n-element list or vector, the corresponding weight is taken to be 1.

All arguments must specify points of the same dimensionality (and orientation, when more than one of the points is a Vector).

$\mathrm{with}\left(\mathrm{Student}:-\mathrm{Precalculus}\right)\:$

$\mathrm{CenterOfMass}\left(\left[0\,0\right]\,\left[1\,1\right]\right)$

$\left[\frac{1}{2}\,\frac{1}{2}\right]$

$\mathrm{CenterOfMass}\left(\left[\left[0\,1\,2\right]\,0.1\right]\,⟨1\,2\,3⟩\,\left[⟨-1\,3\,0⟩\,0.5\right]\right)$

$\left[0.3125000000\,2.250000000\,2.000000000\right]$

$\mathrm{CenterOfMass}\left(\left[⟨\mathrm{a1}\,\mathrm{b1}⟩\,\frac{1}{3}\right]\,\left[⟨\mathrm{a2}\,\mathrm{b2}⟩\,\frac{2}{3}\right]\right)$

$\left[\begin{array}{c}\frac{\mathrm{a1}}{3}+\frac{2\mathrm{a2}}{3}\\ \frac{\mathrm{b1}}{3}+\frac{2\mathrm{b2}}{3}\end{array}\right]$