The medians of a triangle meet at a point P (the centroid by Problem 30 of Section

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The medians of a triangle meet at a point P (the centroid by Problem 30 of Section 5.6) that is two-thirds of the way from a vertex to the midpoint of the opposite edge. Show that p is the head of the position vector (a + b + c)/3, where a, b, and c are the position vector of the vertices, and use this to find p if the vertices are (2, 6, 5), (4, -1, 2), and (6, 1, 2).
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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