(a) The centroid of a triangle lies on the line segment connecting any one of the three
Chapter 10, Problem 8(choose chapter or problem)
(a) The centroid of a triangle lies on the line segment connecting any one of the three vertices of the triangle with the midpoint of the opposite side. Its location on this line segment is two-thirds of the distance from the vertex. If the three vertices are given by the vectors , , and , write the centroid as a convex combination of these three vectors. (b) Use your result in part (a) to find the vector defining the centroid of the triangle with the three vertices , , and .
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