Unit Tangent Vector & Principal Unit Normal Vector (Calculus 3)

This Calculus 3 video explains the unit tangent vector and principal unit normal vector for a vector-valued function. We show you how to visualize both of these vectors and the directions they point in relation to a curve in space, and we describe the process of calculating both the unit tangent and the principal unit normal vectors. We also work two examples of finding each type of vector. 0:00 Into to unit tangent vectors 1:09 Example - Unit tangent vector 4:20 Visualizing unit tangent and normal 6:00 Example - Principal unit normal 10:12 Additional Example - Unit tangent & normal vectors Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8 Houston Math Prep YouTube: https://www.youtube.com/user/HoustonMathPrep