Lemma
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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.1 Vectors and Dot Products, #38 · Multivariable Calculus · Vectors & geometry

The point … of the way along is the same for all…

The point of the way along is the same for all three medians. This means that \mathbf{A}+\frac{2}{3}\mathbf{M}_3=\frac{2}{3}\mathbf{M}_2=\text{______}. Prove that those three vectors are equal.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.1 Vectors and Dot Products, #38

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