Shortest Distance Between Two Skew Lines | Calculus 3

We go over how to find the shortest distance between two lines that are skew. That is, the lines are not parallel but also do not intersect. Such lines exist in parallel planes, and by finding the distance between these parallel planes we will find the distance between the skew lines. #calculus3 Calculus 3 course:    • Calculus 3   Calculus 3 Exercises: Join Wrath of Math to get exclusive videos, music, and more:    / @wrathofmath   0:00 Intro 0:15 The Strategy 1:00 Beginning 2:05 To Find an Equation for P2 3:40 The Normal Vector 4:27 Equation of the Plane 4:53 Finding the Distance 6:18 Conclusion ◉Textbooks I Like◉ Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Abstract Algebra: https://amzn.to/3IjoZaO Linear Algebra: https://amzn.to/43xAWEz Calculus: https://amzn.to/3PieD1M Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/3tsaEER Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon! Outro music is mine. You cannot find it anywhere, for now. Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Math Rap channel:    / @mathbars2020