Arc Length, Directed Distance, Speed and Unit Tangent Vector in 3D Space - Calculus 3

This video explains the arc length integral and directed distance arc length function, speed along smooth curves as the derivative of directed distance using the fundamental theorem of calculus, the unit tangent vector, and provides worked example practice problems.

0:00 Arc length in 3D space
3:36 Directed distance
6:33 Speed, smooth curves
8:26 Unit tangent vector
11:20 Worked examples