A median of a tetrahedron is a segment joining a vertex to the centroid of the opposite

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A median of a tetrahedron is a segment joining a vertex to the centroid of the opposite face. The tetrahedron in Figure 22(B) has vertices at the origin and at the terminal points of vectors u, v, and w. Show that the medians intersect at the terminal point of 1/4 (u + v + w).

u W (B)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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