This kind of thing is why the internet is awesome. I've never taken a trig class, and these kinds of quick overviews are priceless
@mrsajjad30
Жыл бұрын
I can feel the amount of effort and hard work you have put in making this explainer video just to make it so simple for us. Thank you so much Sir. I really appreciate it. I am making a top down tank game and I wanted to implement the rotation logic myself that brought me to your channel. Thank you Sir!
@pikuma
Жыл бұрын
That's very kind. Thank you. :)
@gcpezzi
3 жыл бұрын
Remember that a rotation matrix is basically the same as that initial formula you see in the slides. :)
@samhighfield
8 ай бұрын
This is by far the best explanation of vector rotation I have ever found. Most books and people just gloss over the derivation of this and frustratingly just accept the formula to be the truth, not even mentioning the great lengths that go into creating these short, simple formulas. Thank you so much!!
@parinamais
4 ай бұрын
being able to find y' at the end made me so happy 😄 you are an awesome teacher!
@pikuma
4 ай бұрын
Told you! :) Great one.
@omnis8240
3 ай бұрын
Thank you so much. I'm glad you asked us to find the proof for y' prime Very satisfying.
@unsolvedmystery7408
2 ай бұрын
This is really really helpful, I am going to buy your course as well 😊
@danilaushamburg2975
2 жыл бұрын
This is the best explanation of rotation matrix I ever saw, for sure :)
@azaxmaj2629
Жыл бұрын
Great explanation. Helped a lot. All the best for future similar topics. We will be waiting. Thank you .
@aidanflannery1934
2 ай бұрын
You're a good teacher
@hapboyman
7 ай бұрын
This is an excellent explanation, Gustavo. However, I know a more straightforward approach. I studied it on the Brilliant online school, on a Vector course. You need to cut out of paper a right triangle whose hypotenuse is the length of the initial vector and the legs are its components. Then attach it to the graph and rotate it and everything will become clear.
@kooroshtorabi8773
Жыл бұрын
Thank you so much! All of your videos are PERFECT.
@katsusanw-game-ch
Жыл бұрын
Your description is so easy to know.😀
@archaicmagnongaming3796
Жыл бұрын
Finally I found a video that don't use cos(A+B) and sin(A+B) formula
@giggles8593
2 жыл бұрын
Thank you for this invaluable information!
@rodolfoc.nascimento6301
2 жыл бұрын
Wow what a amazing explanation!
@Lord_Biyoma
2 жыл бұрын
great and complete explanation thank you !
@khaledx4964
Жыл бұрын
you show us the truth that vector rotation is simple👌👌👌👌👌 Don’t forget me when you get famous
@carljeffersondelfin4210
2 жыл бұрын
you deserve more views!
@EgorChebotarev
11 ай бұрын
interesting and accurate explanation
@alexandern9353
10 ай бұрын
what is D a projection of? like I don't see where its y-coordinate came from, it's neither y nor y'
@TheALEXMOTO
Ай бұрын
All such explanations do not explain the magic of the transition from point G to point F. It may seem strange, but I was helped by an example with a light source that shines at 100 percent and behind it are two obscuring glasses each of which gives a dimming of 50 percent. that results in a brightness of 25 percent.
@contentprogramming
2 жыл бұрын
good work , i love it
@leeoiou7295
2 жыл бұрын
Very useful video
@haidergilani1423
Ай бұрын
I love this video
@dandnnn
Жыл бұрын
Great video!
@MrKlaygomes
2 жыл бұрын
Parabéns! Excelente material!
@maxgin3728
10 ай бұрын
thank you so math, very useful🙂
@japhethjay4880
2 жыл бұрын
Thanks so much for the video
@japhethjay4880
2 жыл бұрын
I need to get into game dev at some point
@eduardomacedo2504
Жыл бұрын
Thank you for the great video!
@joachimschmidt7662
Жыл бұрын
Every sub is hard won. Here, take mine :-) Very good lecturer.
@tjalferes
Жыл бұрын
Thank you.
@xKeray
Жыл бұрын
quaternions next?
@sic111
6 ай бұрын
very cool video
@lksxxtodin5292
Жыл бұрын
Thanks!!! ❤
@mohokhachai
Жыл бұрын
Good tuts
@slca
5 ай бұрын
Thanks 🙏
@tecnolog7933
Жыл бұрын
As I could understand, if I use the formula I mot only rotate, but I move the vector or I can use this formula to rotate, but keep the position in cartesian plane. Also, grade A content, really cool.
@pikuma
Жыл бұрын
The rotstion assumes that the pivot point is always the origin (0,0). If you want to translate (move the vector around) you should do that after the rotation.
@tecnolog7933
Жыл бұрын
@@pikuma Thanks, i was with this question because the dots are away from origin.
@mr.chindo8570
Жыл бұрын
how to write in terms of beta
@ian.ambrose
2 жыл бұрын
I appreciate the explanation but that derivation seriously is so long. There's a 5 minutes long derivation by Pen and Paper Science but with the same mathematical approach.
@pikuma
Жыл бұрын
Hi Ian. There are many ways of deriving the rotation components. I believe the most common one out there is the one where people rotate both axis keeping 90° between them and projecting their cosine and sine. I tried to add the actual geometrical *proof* of the problem, hence the length of the video.
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