frida's taqueria - Richter Guitar

🔗 Related Articles You Might Like:

📰 Question: In a science experiment, a drone flies along the line $ \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 2 \\ -1 \end{pmatrix} + t \begin{pmatrix} 3 \\ 4 \end{pmatrix} $. Find the point on this line closest to $ (5, 7) $. 📰 Solution: The closest point occurs where the vector from $ (5, 7) $ to the line is perpendicular to the direction vector $ \begin{pmatrix} 3 \\ 4 \end{pmatrix} $. Let the point on the line be $ (2 + 3t, -1 + 4t) $. The vector from $ (5, 7) $ to this point is $ \begin{pmatrix} 2 + 3t - 5 \\ -1 + 4t - 7 \end{pmatrix} = \begin{pmatrix} -3 + 3t \\ -8 + 4t \end{pmatrix} $. Dot product with $ \begin{pmatrix} 3 \\ 4 \end{pmatrix} $ must be zero: $ 3(-3 + 3t) + 4(-8 + 4t) = 0 $. Simplify: $ -9 + 9t - 32 + 16t = 0 \Rightarrow 25t - 41 = 0 \Rightarrow t = \frac{41}{25} $. Substitute back: $ x = 2 + 3 \cdot \frac{41}{25} = \frac{173}{25} $, $ y = -1 + 4 \cdot \frac{41}{25} = \frac{156}{25} $. 📰 \boxed{\left( \dfrac{173}{25}, \dfrac{156}{25} \right)} 📰 Survey Monkey Survey Monkey Survey Monkey 213946 📰 Covid Gov Shockwave Unprecedented Policies Exposed That Prime Ministers Refused To Shareheres What Happened 2751663 📰 What Is Ftp 9020997 📰 Windows 10 Install Disk 9498167 📰 Google Pixel 6A 2640139 📰 What Clash Royale Stat Gurus Wont Want You To Miss Game Changing 8274829 📰 Wise Sons Jewish Deli 1890665 📰 Finally The Ultimate Guide To Deleting Mcafee In 5 Minutes 9849219 📰 Crazy Gams That Make Gamers Scream The Hottest Trends You Cant Ignore 5213924 📰 Animeflix Launches Something Spicywatch The Release Thats Dominating Trending 9027156 📰 Storror Game 1562816 📰 Redistributable C The Secret Hack Thatll Blow Your Mindwatch It Go Viral 1813692 📰 Power Bi Dashboard Design Secrets That Will Blow Your Analytics Game Away 4565547 📰 Why This Weeks Ipo News October 2025 Is Trending Across Financial Markets 2386941 📰 Iphone 17 Release Date Rumors 3099130