Get 3D Math Primer for Graphics and Game Development. It's not a free online tutorial, but I seriously doubt you could find any online tutorial that covers 3D math in such detail while still being very accessible and beginner-friendly. It's got the best coverage of quaternions that I've come across, and it also introduces all the mathematical formulas with a geometric interpretation so that you know how they relate to computer graphics.
Other than that, here's a good basic Vector Math Tutorial. For Quaternions there's the Wikipedia article and some other resources you could find with google, but they all seem too brief or tied to a certain technology. Again, just buy that book (or alternatively this one which covers more topics but spends less time on the basics).
Try 3blue1brown; the guy has a Youtube channel with a whole bunch of topics plus he's a K-12 mathematics teacher. His explanations are really jargon-free and easy to digest, plenty of pictures and some of the best things IMHO are that he doesn't stick solely to voiceovers, he has a live chat so anyone can ask questions, he does live streaming so although he might not sound "professional" all the time it's definitely a very natural and approachable experience. He has a bunch of videos on quaternions and vectors. I'll include one of each below:
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获取图形和游戏开发的 3D 数学入门。这不是一个免费的在线教程，但我严重怀疑您是否能找到任何在线教程，既能如此详细地介绍 3D 数学，同时又非常易于理解且适合初学者。它对四元数的覆盖范围是我所见过的最好的，并且还介绍了所有具有几何解释的数学公式，以便您了解它们与计算机图形学的关系。
除此之外，这里有一个很好的基本矢量数学教程。对于四元数，有维基百科文章和一些其他资源，您可以通过谷歌找到，但它们似乎都太简短或与某种技术相关。再次强调，只需购买那本书（或者这本书涵盖更多主题，但在基础知识上花费更少的时间）。
Get 3D Math Primer for Graphics and Game Development. It's not a free online tutorial, but I seriously doubt you could find any online tutorial that covers 3D math in such detail while still being very accessible and beginner-friendly. It's got the best coverage of quaternions that I've come across, and it also introduces all the mathematical formulas with a geometric interpretation so that you know how they relate to computer graphics.
Other than that, here's a good basic Vector Math Tutorial. For Quaternions there's the Wikipedia article and some other resources you could find with google, but they all seem too brief or tied to a certain technology. Again, just buy that book (or alternatively this one which covers more topics but spends less time on the basics).
不知道关于 Quaternionssnsns 的东西 - 但这里有一个非常好的 Vector 网站：
http://chortle.ccsu.edu /VectorLessons/vectorIndex.html
Dunno about Quaternionssnsns thingys - but here's a really good Vector site:
http://chortle.ccsu.edu/VectorLessons/vectorIndex.html
我的计算机图形学教授发布了他的 关于此的幻灯片. 这应该涵盖您想要的向量和四元数。
My computer graphics professor posts his slides on this. This should cover what you would want on vectors and quaternions.
尝试 3blue1brown；这个人有一个 Youtube 频道，有很多主题，而且他还是一名 K-12 数学老师。他的解释确实没有行话，很容易理解，有大量的图片，恕我直言，他的一些最好的事情是，他不仅仅局限于配音，他有实时聊天，所以任何人都可以提问，他也有直播，所以尽管他可能听起来并不总是“专业”，但这绝对是一种非常自然和平易近人的体验。
他有很多关于四元数和向量的视频。我将包括以下其中一项：
可视化四元数 - 4D 数字
https://www.youtube.com/watch?v=d4EgbgTm0Bg
矢量 - 精华线性代数
https://www.youtube.com/watch?v=fNk_zzaMoSs
快乐的数学。
Try 3blue1brown; the guy has a Youtube channel with a whole bunch of topics plus he's a K-12 mathematics teacher. His explanations are really jargon-free and easy to digest, plenty of pictures and some of the best things IMHO are that he doesn't stick solely to voiceovers, he has a live chat so anyone can ask questions, he does live streaming so although he might not sound "professional" all the time it's definitely a very natural and approachable experience.
He has a bunch of videos on quaternions and vectors. I'll include one of each below:
Visualizing Quaternions- 4D Numbers
https://www.youtube.com/watch?v=d4EgbgTm0Bg
Vectors - Essence of Linear Algebra
https://www.youtube.com/watch?v=fNk_zzaMoSs
Happy math.