Example 3: Tangent Line to a Helix

In this video I show how to obtain the parametric equations of a line that is tangent to a given point on a helix, whose parametric equations are also given. I first convert the helix parametric equations to its vector equation form and then take the derivative. I then obtain the parametric equations of our tangent line by using our given point and the derivative as the parallel vector. I also graph this out in GeoGebra's amazing 3D graphing calculator, play around with it yourself! https://www.geogebra.org/3d/na9yk6pn

#math #helix #calculus #vectors #geogebra

Timestamps:

- Example 3: Tangent line to a helix: 0:00
- Converting parametric equations to vector equation of the helix and taking the derivative: 0:32
- Obtaining parameter value at our given point on the helix: 1:10
- Derivative at our point on the helix: 3:11
- Recap on the parametric equations of a line: 4:03
- Obtaining the parametric equations of our tangent line: 5:33
- Graph of the tangent line to the helix, and input equations for GeoGebra: 8:25
- Graphing in GeoGebra's 3D graphing calculator: 10:57

Notes and playlists:

- Summary: https://inleo.io/threads/view/mes/re-leothreads-oz9gyjmz
- 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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