Diagonals of a Quadrilateral

Problem

A plane quadrilateral ABCDABCD has AB=1AB = 1, BC=4BC = 4, CD=2CD = 2, DA=3DA = 3. Find

ACBD.\overrightarrow{AC} \cdot \overrightarrow{BD}.

Answer

Solution

Difficulty6/10
Topicsplane geometry, Polarization Identity, Law of Cosines, vectors

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