The Cross Product: Triple Products

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    mes

    Published on Feb 18, 2023
    About :

    In this video I go over triple products, and more specifically the scalar triple product from Property 5 of my previous video. The scalar triple product can be written in determinant form and its geometric significance is that it makes up the volume of a parallelepiped, which is just a 3D parallelogram. I illustrate this triple product by an example and show that if the scalar triple product is equal to zero then all the vectors must be coplanar; that is, they are on the same plane and thus their volume is zero.

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

    • Scalar Triple Product: 0:00
    • Formula of a Parallelepiped: 7:59
    • Example 5: 8:55

    This video was taken from my earlier video listed below:

    Related Videos:

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


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