An Incenter Dot Product

★ 7/10plane geometry Law of Cosines Triangle Geometry vectors

Problem

Let $I$ be the incenter of $\triangle ABC$ with $AB = 3$ , $AC = \sqrt{13}$ , and $\angle ABC = 60^\circ$ . Find $\overrightarrow{AI}\cdot\overrightarrow{BC}$ .

Answer

Solution

Difficulty	7/10
Topics	plane geometry, Law of Cosines, Triangle Geometry, vectors

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