Parallel and Non-Parallel Planes + Example

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2 years ago
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vectors parallel planes non-parallel planes normal vector angle between normal vectors angle between planes vector algebra geometry 3d geometry geogebra 3d graphing calculator

In this video I go over parallel and non-parallel planes and go over an example on finding the angle between two non-parallel planes. Two planes are parallel if their normal vectors are parallel. If they are not parallel then they intersect in a straight line and form an angle between their 2 normal vectors. I go over an example on determining the angle between 2 non-parallel planes as well as finding the symmetric equations of their line of intersection. And as always, I double check my work using the amazing GeoGebra 3D graphing calculator, which you can play around with here: https://www.geogebra.org/calculator/kttfn3pk and here: https://www.geogebra.org/calculator/kttfn3pk.

The timestamps of key parts of the video are listed below:

- Parallel Planes: 0:00
- Example 7: 4:18
- Solution to 7a: Angle Between Planes: 4:42
- Graphing with GeoGebra 3D Graphing Calculator: 9:15
- Solution to 7b: Symmetric Equations of Line of Intersection: 9:57
- Graphing with GeoGebra: 18:55

This video was taken from my earlier video listed below:

- Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8
- Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV

Related videos:

Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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