Vector Equation of a Line Segment

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In this video I go over the vector equation of a line segment instead of the entire line. I first start off with an example involving parametric equations and noting that setting the parameter t = 0 gets the first point on the line, while setting it to t = 1 gets the second point. From this fact, we can start off with our usual vector equation of a line and then describe it using our desired starting and ending vector, which point to the 2 positions of a line we want. Then we can just impose the interval of the parameter t to be from 0 to 1 to get our desired line segment!

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

• Parametric Equations of a Line Segment Example: 0:00
• General Vector Equation of a Line Segment: 5:32
• Summary of Equation of a Line Segment: 11:58
• Note on t = 0 and t = 1: 12:40

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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