A median of a triangle is a segment joining a vertex to the midpoint of the opposite side. Referring to Figure 22(A), prove that three medians of triangle ABC intersect at the terminal point P of the vector 1/3 (u + v + w). The point P is the centroid of the triangle. Show, by parametrizing the segment that P lies two-thirds of the way from A to A'. It will follow similarly that P lies on the other two medians. 

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