Question: A museum curator studying a 19th-century celestial sphere needs to determine the angle between two star positions modeled by vectors $ \begin{pmatrix} 2 \\ -1 \end{pmatrix} $ and $ \begin{pmatrix} x \\ 3 \end{pmatrix} $, which are orthogonal. Find $ x $.

Wed, 06 May 2026 11:55:48 +0000

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