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\[ 2a = 1 \] - AMAZONAWS
\[ 2a = 1 \] - AMAZONAWS
📅 March 11, 2026
👤 scraface
Mar 11, 2026
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📌 \[ a = \frac{1}{2} \]
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📌 Question: A hydrologist models the flow of groundwater in a 3D aquifer using vectors. If the flow vector $\vec{f} = \begin{pmatrix} 4 \\ -2 \\ 5 \end{pmatrix}$ represents the direction and rate of flow, find the point on the line $\vec{r}(t) = \begin{pmatrix} 1 \\ 0 \\ -3 \end{pmatrix} + t\begin{pmatrix} 2 \\ 1 \\ -1 \end{pmatrix}$ that is closest to the point $P = (3, -1, 2)$.