Geometry of the Dot Product: Angle Between Cube Diagonals Explained! ⇢ 1.5 from Classical Mechanics

⍟ 𝐀𝐛𝐨𝐮𝐭 𝐓𝐡𝐢𝐬 𝐕𝐢𝐝𝐞𝐨 ⍟
In this video, we solve a classic physics problem from classical mechanics, exploring the angle between a cube’s body diagonal and face diagonal using vectors and the dot product. Perfect for students tackling 3D geometry or anyone looking to build intuition for the dot product, this problem reveals the deep connection between algebra and spatial reasoning. With clear explanations, diagrams, and step-by-step calculations, we’ll help you visualize and solve this fascinating problem. Whether you're preparing for exams or just love physics, this is the video for you!

• 𝙿𝚛𝚘𝚋𝚕𝚎𝚖 𝙱𝚛𝚎𝚊𝚔𝚍𝚘𝚠𝚗 𝚃𝚒𝚖𝚎 𝚂𝚝𝚊𝚖𝚙𝚜:
00:00 - Intro & Background.
00:09 - Problem Statement.
00:51 - Setup.
02:05 - Analysis.
04:17 - Concluding Remarks.
----------------------------------------------------
⍟ 𝐒𝐮𝐩𝐩𝐨𝐫𝐭 𝐓𝐡𝐢𝐬 𝐂𝐡𝐚𝐧𝐧𝐞𝐥 ⍟
• ▶️ 𝘚𝘶𝘣𝘴𝘤𝘳𝘪𝘣𝘦 ▶️ ➜ http://tinyurl.com/4kd8wahb
• 🔎 𝘗𝘢𝘵𝘳𝘦𝘰𝘯 🔍 ➜   / curiousaboutscience  
• ☕ Buy Me a Coffee ☕ ➜ https://buymeacoffee.com/curiousabout...
----------------------------------------------------
⍟ 𝐂𝐫𝐞𝐝𝐢𝐭𝐬/𝐑𝐞𝐬𝐨𝐮𝐫𝐜𝐞𝐬 ⍟
☞📚📖📓= Taylor, John R. “Newton’s Laws of Motion.” 𝘊𝘭𝘢𝘴𝘴𝘪𝘤𝘢𝘭 𝘔𝘦𝘤𝘩𝘢𝘯𝘪𝘤𝘴, University Science Books, 2005, pp. 3–41.
• Another cube = https://homework.study.com/explanatio...
----------------------------------------------------
⍟ 𝐌𝐢𝐬𝐬𝐢𝐨𝐧 ⍟
Science is a phenomenal exploration of nature. We hope to hone our skills of problem solving by exposing ourselves to multiple contexts. In doing so, it can sometimes be challenging to see the connection between topics. I yearn to understand 𝙝𝙤𝙬 these aspects of physics, unite together. To accomplish this, I'll cover all of my old textbooks through QFT; the convergence point of the many modern scientists! These posts are very much in a "𝘯𝘰𝘵𝘦𝘴 𝘵𝘰 𝘴𝘦𝘭𝘧" style. 𝙈𝙮 𝙝𝙤𝙥𝙚 is that by sharing this exploration, I can help others navigate the beautiful world of mathematics & physics through problems and examples, connecting the mathematical tools to their physical ramifications.

#Curiousaboutscience

• Stay Curious & Happy Learning!

⇢ Share knowledge - tag a friend!
⇢ Subscribe for more!
⇢ Don't forget to turn on video notifications!
----------------------------------------------------