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SOLVED:Medians of a triangle- coordinate free Assume that 𝐮, 𝐯, and 𝐰 are vectors in ℝ^3 that form the sides of a triangle (see figure). Use the following steps to prove that the medians intersect at a point that divides each median in a 2: 1 ratio. The proof does not use a coordinate system. a. Show that 𝐮 𝐯 𝐰=0 b. Let 𝐌1 be the median vector from the midpoint of 𝐮 to the opposite vertex. Define 𝐌2 and 𝐌3 similarly. Using the geometry of vector addition show that 𝐌1=𝐮 / 2 𝐯 . Find
SOLVED:Medians of a triangle- coordinate free Assume that 𝐮, 𝐯, an…
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