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📰 Solution: Two vectors are orthogonal if their dot product is zero. Compute the dot product: \(3x + (2)(-1) + (-1)(4) = 3x - 2 - 4 = 3x - 6\). Set this equal to zero: \(3x - 6 = 0 \implies x = 2\). 📰 Question: Find the vector \(\mathbf{v} = \begin{pmatrix} a \\ b \\ c \end{pmatrix}\) such that \(\mathbf{v} \times \begin{pmatrix} 2 \\ -1 \\ 3 \end{pmatrix} = \begin{pmatrix} 5 \\ 7 \\ -4 \end{pmatrix}\). 📰 Solution: The cross product \(\mathbf{v} \times \mathbf{a}\) is computed as: 📰 Eating Tracker App 9956849 📰 Meaning Muchacho 107897 📰 You Wont Believe Whos The Current Surgeon Generalshocking Update Exposed 5849014 📰 Allergic Cough Syrup 7035796 📰 How A Colorado High Schools Silent Trauma Shocked America With Its Hidden Truth 9410839 📰 Best Business Insurance For Small Business 8055038 📰 5A Perfect Blend Of Cuteness Dramapet Girl Of Sakurasou Explodes In Viral Content 8897650 📰 These Garen Counter Gadgets Will Leave You Breathlesstry Them Today 1172689 📰 Java Se Development Kit 24 Boost Your Productivity With These Must Have Tools 1693230 📰 Tyrese Haliburton Overrated Player Poll 1478875 📰 Pumas Unam Vs Guadalajara The Rivals Collide In A Clash Like No Other 6551930 📰 All Inclusive Punta Cana With Flight 9271168 📰 Lost Season 3 1247089 📰 Why 25 Of Investors Are Switching To Roth 401K After 401K Rollover Heres Why 3280369 📰 This Shocking Sheep Diet Fact Will Change How You Feed Them Forever 239310