Show activity on this post. I am currently working through questions in the textbook "Stewart Calculus: Early Transcendentals, 8th Edition". Fortunately, the textbook also has a solution manual but I'm having a hard time understanding why they did what they did. The qu...
From differential geometry and calculus (see [1,2]), we know that 𝐓̂=𝐯∥𝐯∥,𝐁̂=𝐯×𝐚∥𝐯×𝐚∥,𝐍̂=𝐁̂×𝐓̂,T^=v∥v∥,B^=v×a∥v×a∥,N^=B^×T^, where 𝐯(𝑡)=𝐫′(𝑡)=(𝑥′(𝑡),𝑦′(𝑡),𝑧′(𝑡))𝑇v(t)=...