A Polarization Range

★ 7/10Extrema Circles analytic geometry vectors

Problem

In the coordinate plane, let $A(-1, 0)$ , and let $B, C$ move along the unit circle centered at the origin $O$ so that the line $BC$ has inclination $30^\circ$ . Find the range of possible values of $\overrightarrow{AB}\cdot\overrightarrow{AC}$ .

Answer

Solution

Difficulty	7/10
Topics	Extrema, Circles, analytic geometry, vectors

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