Math Easy Solutions | Four Points are on a Plane if the Scalar Triple Product is Zero @mes | Uploaded July 2024 | Updated October 2024, 5 hours ago.
In this video I illustrate a method for determining of 4 points lie on the same plane by checking if their scalar triple product (or volume of a parallelepiped) is zero. If it is zero then it means the volume of the parallelepiped spanned by the position vectors between the 4 points is zero, aka a flat plane.

Timestamps:

- Question 16 (b): 4 4oints on a plane: 0:00
- Solution: Volume of parallelepiped (scalar triple product) is zero: 0:13
- Illustration of method: 1:26

Full video and playlists:

- Full video: youtu.be/VMKb69uDVt0
- HIVE notes: peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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