The Dot Product: Direction Angles and Direction Cosines

In this video I show that the dot product can be utilized to write any vector in the form of its direction angles and direction cosines. Using the geometric interpretation of the dot product from my earlier video, I show that each component of a vector is equal to the cosine of its direction angle. Note that direction angles are the angles that a vector makes with each of the x, y, and z axes. I also go over an example in calculating the direction angles.

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

- Direction Angles and Direction Cosines: 0:00
- Example 5: 14:32

This video was taken from my earlier video listed below:

- Vectors and the Geometry of Space: The Dot Product: https://youtu.be/9uqtIk5iHys
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-dot-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GbHgvpTY1mx61nTNO-Msl8

Related Videos:

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

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