We define a median vector of a triangle to be the vector from a vertex of the triangle to the midpoint of the opposite side. Using vectors, show that the sum of the median vectors of a triangle is the zero vector.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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We define a median vector of a triangle to be the vector from a vertex of the triangle to the midpoint of the
opposite side. Using vectors, show that the sum of the median vectors of a triangle is the zero vector.
Transcribed Image Text:We define a median vector of a triangle to be the vector from a vertex of the triangle to the midpoint of the opposite side. Using vectors, show that the sum of the median vectors of a triangle is the zero vector.
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