• anonymous
The median of a triangle is a vector from a vertex to the midpoint of the opposite side. Show the sum of the medians of a triangle = 0. Answer: The median of side AB is the vector from vertex C to the midpoint of AB. Label this midpoint as P. As usual we write P for the origin vector −−→ OP. −−→ CP = 1 2 (A + B) 1 The midpoint P = ⇒ (B + A) − C. 2 Likewise: −−→ BQ = (A + C) − B and −−→ AR = 1 2 1 2 (B + C)
MIT 18.02 Multivariable Calculus, Fall 2007
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