Reflection Matrix Proof

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The mirror matrix (or reflection matrix) is used to calculate the reflection of a beam of light off a mirror. The incoming light beam * the mirror matrix = outgoing light beam.

Animations made using manim.
Microphone: Blue Yetti
Software: OneNote + FIlmora pro

Timestamp:
0:00 - Intro animation
0:28 - Finding V2 (Equation 1)
2:49 - Finding cos(theta) (Equation 2)
3:37 - Finding mirror matrix
5:41 - Mirror matrix 2D
6:27 - 2D animation
7:05 - Mirror matrix 2D again
7:18 - Mirror matrix 3D
7:36 - Outro animation
7:47 - Extra info

Music:
Music by Vincent Rubinetti
Download the music on Bandcamp:
Stream the music on Spotify:
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Hey folks, this is my second video where I've used manim to create mathematical animations :)

virtually_passed
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Such an elegant approach. Thank you for the video.

ki-ka
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you are saving my friends math project

SophiaChen-bvrp