Multivariable Calculus: The unit tangent vector T

The unit tangent vector T(t) for a smoothly parametrized space curve r(t), and the equation of the tangent line. In this lecture, we define the unit length tangent vector and explore how to write down a tangent line to a parametrized curve at a specific point. This lecture is a prelude to the concepts of curvature, and other related vectors, like the unit normal and binormal vectors 𝑁̂ and 𝐵̂. (Unit 2 Lecture 6) #mathematics #maths #maths #vectorcalculus #multivariablecalculus #calculus #iitjammathematics #calculus3