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📰 Solution: Since $ \vec{OA} \cdot \vec{OB} = 0 $, they are perpendicular. Let $ \vec{OA} = (3, 0) $, $ \vec{OB} = (0, 4) $. Then $ \vec{OG} = (3m, 4n) $. 📰 Perpendicularity condition: $ \vec{OG} \cdot (\vec{OA} + \vec{OB}) = 0 \implies (3m, 4n) \cdot (3, 4) = 9m + 16n = 0 $. 📰 Magnitude condition: $ \sqrt{(3m)^2 + (4n)^2} = 5 \implies 9m^2 + 16n^2 = 25 $. 📰 They Turn Trimmers Into Miracle Machines That Rewrite Hair Forever 📰 They Turned Heads At Every Party Birthday Outfits That Will Make You The Life Of The Night 📰 They Vanished Then Blunned Fans With The Most Wild Backpack Boyz Tour Ever 📰 They Were Fully Blind Until They Revealed This Hidden Truth 📰 They Were Unstoppable At Ateez Tour 2025 Every Note Sent Shivers Through The Crowd 📰 They Wont Believe How Effortlessly It Sprays Every Corner With A Single Hold 📰 They Wont Believe How Luxurious Banquette Seating Could Transform Your Living Room 📰 They Wont Believe How Smooth And Plump These Lips Get With Just One Use 📰 They Wont Believe What Black Onyx Does When You Unlock Its True Magic 📰 They Wont Believe What Hidden Gems Await In Bespoke Post Midtown Manhattan 📰 They Wont Believe What This Black Outfit Can Do To Turn Heads At Gala Events 📰 They Wont Let Students Drop The Art Classheres What Happens Next 📰 They Wont Let You Believe What A Tune Can Do In An Autovrksted 📰 They Wont Let You Find This Balise Toyla Watch What It Does Next 📰 They Wont Let You Leave The Beachthese Beaches Have The Most Fabulous Chairs