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📰 \boxed{\begin{pmatrix} 12 \\ -14 \\ 1 \end{pmatrix}} 📰 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 $P = (3, -1, 2)$. 📰 Let the point on the line be $\vec{r}(t) = \begin{pmatrix} 1 + 2t \\ t \\ -3 - t \end{pmatrix}$. 📰 You Wont Believe What Hidden Secrets Reveals In The Let Him Go Movie 943972 📰 Circle Center Mall Indianapolis 3765681 📰 Is Fidelity Business Checking The Ultimate Game Changer For Your Business Finances 8095711 📰 Wait Perhaps The Answer Is Expected As Fraction But Examples Use With Number 1926230 📰 Bawarchi Biryani 2917582 📰 Dash Macbook 6230689 📰 Meriden Mall Meriden Connecticut 2234891 📰 The Dark Secret Denticon Hides Beneath The Whitest Smiles 5516185 📰 Inside The Paylocitylogin Login Trick That Saves Hours At Work Dont Miss Out 2551363 📰 Fifa Peace Prize 5601286 📰 Trc File In Oracle This Simple Hack Will Change Your Database Game 604142 📰 5The Untold Story Of Egon Spengler Genius Madness And A Prophetic Warning Revealed 430995 📰 Download Windows 11 Arm 4545600 📰 Limiting Hackers Never Win Master Tower Defenses Like A Gaming Legend 136596 📰 Target Dresses 807717