In this video I go over the the 3 main equations of a line in 3D: vector equation, parametric equations, and symmetric equations. The vector equation defines a line as a vector to a point on the line and is comprised of a vector to any point on the line plus any parallel vector to the line. The parametric equations of a line separates the x, y, z components of the vector equation of a line into their own separate equations. The symmetric equations of a line solves for the parameter in the parametric equations and equates them for all 3 equations.
Timestamps:
- Question 13: Equations of a line: 0:00
- Solution: Vector equation of a line: 0:06
- Parametric equations of a line: 1:36
- Symmetric equations of a line: 2:39
Full video and playlists:
- Full video:
- HIVE notes: @mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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