Premium Only Content

Complex Numbers as Vector Rotations
In this video I illustrate how complex numbers can be interpreted as vector rotations. This follows from my earlier video on equating the Rotation Matrix as a complex number. Rotating a vector by 0° is equivalent to multiplying the vector by the Identity Matrix [I]. Rotating a vector by 90° is equivalent to multiplying the vector by the Imaginary Matrix [i]. This is quite amazing, both in that complex numbers can be interpreted as vector rotations and also in that the imaginary unit i can be viewed as a 90° rotation!
This video was taken from my earlier video listed below:
- Complex Numbers as Rotation Matrices: https://youtu.be/Mgp2vrQeLEw
- Video notes: https://peakd.com/hive-128780/@mes/complex-numbers-as-rotation-matrices
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E6x0dZEAx77Kqv7LLxYdbx
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
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
-
3:26:56
Math Easy Solutions
1 day ago $0.03 earnedMES Livestream 111: BeneficenceTV Discusses Energy Recycling (Free Energy)
175 -
LIVE
DLDAfterDark
4 hours ago $0.02 earnedThe After Hours Armory! Tonight is The Chat's Chat! God, Guns, and Gear!
206 watching -
3:32:18
Mally_Mouse
7 hours ago🌶️ 🥵Spicy BITE Saturday!! 🥵🌶️- Let's Play: Phasmophobia
28.1K2 -
1:13:19
iCkEdMeL
3 hours ago $0.31 earnedChaos Explodes in Chicago & Portland | Feds Clash with Protesters!
18.8K4 -
21:54
Exploring With Nug
1 day ago $6.64 earnedScuba Diving Missing Person Search Leads to Discovery of Classic Cars!
44.1K8 -
LIVE
Phyxicx
7 hours agoStar Wars: Movie Battles II Community Event hosted by ReaperAF95 - 10/4/2025
128 watching -
1:19:51
World2Briggs
6 hours ago $0.11 earnedThe US This Week
26.5K2 -
2:31:13
Joker Effect
3 hours ago"MAKE STREAMING GREAT AGAIN" - Brands Step Up Finally. Birth of Rumble Community. Taking Leadership
14.6K1 -
5:02:17
Illyes Jr Gaming
6 hours ago"Machine Gun" Takes On BLACK OPS 7 Beta DAY 3!!!
9.44K -
Damysus Gaming
3 hours agoBorderlands 4 - AMON Vs Timekeeper!! Lets Grind This OUT!!
8.87K