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

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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:
• Vectors and the Geometry of Space: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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