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Student[Precalculus][CenterOfMass] - find the center of mass of a set of points
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Calling Sequence
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CenterOfMass(p1, ...)
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Parameters
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p1, ...
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each is an n-element list or Vector specifying a point, or a list whose first element is an n-element list or Vector and whose second element is an algebraic expression specifying the corresponding weight
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Description
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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.
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All arguments must specify points of the same dimensionality (and orientation, when more than one of the points is a Vector).
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Examples
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![CenterOfMass([0, 0], [1, 1])](/support/helpjp/helpview.aspx?si=4426/file05115/math57.png)
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![[1/2, 1/2]](/support/helpjp/helpview.aspx?si=4426/file05115/math60.png)
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![CenterOfMass([[0, 1, 2], .1], `<,>`(1, 2, 3), [`<,>`(-1, 3, 0), .5])](/support/helpjp/helpview.aspx?si=4426/file05115/math64.png)
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![[.3125000000, 2.250000000, 2.000000000]](/support/helpjp/helpview.aspx?si=4426/file05115/math67.png)
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![CenterOfMass([`<,>`(a1, b1), 1/3], [`<,>`(a2, b2), 2/3])](/support/helpjp/helpview.aspx?si=4426/file05115/math71.png)
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*a1+(2/3)*a2], [(1/3)*b1+(2/3)*b2]])](/support/helpjp/helpview.aspx?si=4426/file05115/math74.png)
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