Example 1: Unit Tangent Vector

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In this video I go over an example on determining the derivative of a vector function and then calculating its unit tangent vector when the parameter t = 0. This is a quick example showing how to obtain the derivative of a vector function by components, then using the distance formula in 3D to obtain the derivative magnitude or length. The unit tangent vector is the ratio of the derivative to its length, and describes the direction of the derivative but with a length of 1 unit.

#math #science #calculus #vectors #UnitVector

Timestamps:

• Example 1: Derivative and Unit Tangent Vector: 0:00
• Solution to (a): Derivative of Vector Function by components: 0:27
• Solution to (b): Unit Tangent Vector at t = 0: 3:11
  • Position vector at t = 0: 5:33
  • Solving for the unit tangent vector at the point (1, 0, 0): 7:04
• Recall the distance formula in 3D and 2D: 8:56

Notes and playlists:

• Summary: https://inleo.io/threads/view/mes/re-leothreads-hbgq6k3b
• Notes: https://peakd.com/hive-128780/@mes/hfsetrue
• Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous
• Vector Functions playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous .

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