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📰 The final answer is \boxed{-6}.Question: An anthropologist models the migration paths of two ancient tribes as vectors $\vec{u} = \begin{pmatrix} 3 \\ -1 \\ 2 \end{pmatrix}$ and $\vec{v} = \begin{pmatrix} -2 \\ 4 \\ 1 \end{pmatrix}$. There exists a vector $\vec{w} = \begin{pmatrix} a \\ b \\ c \end{pmatrix}$ such that $\vec{w} = 2\vec{u} - 3\vec{v}$. Find $\vec{w}$. 📰 To find $\vec{w}$, we compute the linear combination: 📰 \vec{w} = 2\vec{u} - 3\vec{v} = 2\begin{pmatrix} 3 \\ -1 \\ 2 \end{pmatrix} - 3\begin{pmatrix} -2 \\ 4 \\ 1 \end{pmatrix} 📰 15 Equiv 3 Pmod4 6098188 📰 New Vampire Movie 2482604 📰 The Top 5 Nd Score Obsessed Gamers Must Play Switch Games Dont Miss Out 2175114 📰 Watch Verizon Fios Tv On My Computer 4252911 📰 Socks With Socks 4545991 📰 2025 Chinese Zodiac 641944 📰 Ariel Donoghue 1065922 📰 This Saucy View From Vu Rooftop Bar Nyc Is So Stunning Youll Question Realitywatch Now 2359802 📰 Ready For The Ultimate Hidden Mystery Game This Secret Society Will Shock You 9665319 📰 University Of Mississippi Womens Basketball 2795028 📰 Youll Never Guess How Fast Pansy Seeds Growstart Planting Today 5622661 📰 You Wont Recognize These Hidden Autism Signs In Your Dogbreakdown Inside 3118134 📰 Chuck Norris Funeral Revealed The Shocking Ritual No One Talks About 4789571 📰 Clam Shell Secrets Get Stronger Abs Faster With This Surprising Exercise 4061247 📰 Staggering Cats Iq For Looking This Orijen Cat Foodyoull Never Believe What She Eating 5954792