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Home » h_ extlongest = rac2 \cdot 20\sqrt37 = rac40\sqrt37 ext cm - jntua results

h_ extlongest = rac2 \cdot 20\sqrt37 = rac40\sqrt37 ext cm - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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.

📌 To find $\cos \theta$, we use the formula for the dot product:

📌 \mathbf{u} \cdot \mathbf{v} = \|\mathbf{u}\| \|\mathbf{v}\| \cos \theta

📌 First, compute the dot product $\mathbf{u} \cdot \mathbf{v}$:

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