A hydrologist is modeling groundwater flow and needs to determine the angle $\theta$ between two vectors representing water flow directions. Given vectors $\mathbf{u} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}$ and $\mathbf{v} = \begin{pmatrix} -1 \\ 2 \end{pmatrix}$, find $\cos \theta$ using the dot product.

Sat, 02 May 2026 08:50:06 +0000

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