True-False Quiz Questions 17 and 18: Circular and Parabolic Cylinders in 3D

In this video I show that a formula has different meanings when plotted in 2D vs 3D, such as the equation of a circle in 2D which becomes a circular cylinder in 3D. This is because when the 2D formula is extended to 3D, the z-variable is assumed and extends to infinity. Thus the circle formula represents the circular cross-section of an infinitely long circular cylinder. This is the same case for a 2D parabola extended to a 3D parabolic cylinder.

Time stamps:

- Question 17: Formula for a Circular cylinder in 3D: 0:00
- Question 18: Formula for a Parabolic Cylinder in 3D: 1:22
- Paraboloid is bowl shaped: 3:27

Full video and playlists:

- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GiYS2qR98dzUjsx-0PRPbC
- Notes: https://peakd.com/hive-128780/@mes/vectors-geometry-true-false-quiz
- Vectors and the Geometry of Space: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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