Vector Equation of a Line

In this video I go over the vector equation of a line in 3D space. The method is similar to that of a line in 2D using the point-slope method. In 2D, a line is determined when a point on the line and the line's slope is known. Similarly, a line in 3D can be determined using vectors when a point on the line and a vector parallel to the line is known. The parallel vector can be multiplied by a scalar so that we can then find any point on the 3D line.

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

• Line in the xy-Plane: 0:00
• Vector Equation of a Line: 1:17
• Parameter t: 6:49

This video was taken from my earlier video listed below:

• Equations of Lines and Planes: [
• 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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