Name: Vector Equation of a Line
Uploaded: 2023-07-10T02:33:28+00:00
Duration: 9 min 8 s
Description: 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

2 years ago

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vectors vector equation of a line line line in 3D 3D three dimensions 3D space parameter t geometry mathematics science

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: 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