A Space Quadrilateral Dot

★ 6/10Law of Cosines solid geometry vectors

Problem

In a (not necessarily planar) quadrilateral $ABCD$ in space, $AB = 2$ , $BC = 8$ , $CD = 10$ , $DA = 4$ . Find $\overrightarrow{AC}\cdot\overrightarrow{BD}$ .

Answer

Solution

Difficulty	6/10
Topics	Law of Cosines, solid geometry, vectors

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