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 .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
▶️ DTube
Downvoting a post can decrease pending rewards and make it less visible. Common reasons:
Submit