Rotation Matrix for 2D Vectors
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- Опубліковано 10 лют 2025
- Physics Ninja looks at the derivation for the 2D rotation matrix. The matrix allows us to calculate the new components of a vector that has been rotated by some angle. Both counter-clockwise and clockwise directions are considered.
Previous video link: Rotation Matrix for Coordinate Transformation
• Rotation Matrix for Co...
Man i have been struggling with this notion as IT engineer and after many times searching for the full explanation I have finally found it !! Cheers ❤️
You're a legend. Great explanation , I'd already used your vidoes in the past for Electrodynamics and nothing has changed. Clear, concise and well-explained material. Thank you so much
Wow, thanks!
I like that this started with showing us the vectors, discovering what we already know about said vectors, and then working towards expressing the conversion from one to the other using the rotational matrix. I like seeing why we need the math we use
This is the only explanation that clicked with me
Science bless you sir for all of those great videos.
heckin upvoted!
Thank you a lot. This great video is clear now for all🥰
Thank you for making this!
My pleasure!
Thank you for this easy to understand explanantion!
how can i calculate theta if i know a and b points
In your proof you are using the trigonometric identity for sin/cos of the sum of two angles. The proof for that identity uses the rotation matrix, hence your proof is circular, unless you can prove the trigonometric identities without using the rotation matrix.
There’s another video with those proofs.
How about when rotating around a non origin point?
Future video. First translate point to origin, perform rotation, translate point back to position. Everything can be written in matrix form.
@@PhysicsNinja thanks for the knowledge, i just made a targeting camera with it heh