In triangle $\triangle ABC$, If $(\overrightarrow{AB}-3\overrightarrow{AC}) \perp \overrightarrow{CB}$, what is the largest value can angle $\angle BAC$ attain?
2026-03-31 20:10:46.1774987846
Triangle and Vectors.
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Using analytical geometry, you can assume without loss of generality $A=(0,0)$, $B=(1,0)$ and $C=(x,y)$. Expressing the perpendicularity condition will allow you to eliminate one of $x$ or $y$. Express the angle as a function of the remaining unknown.