07 - Intuitive 3d Vector Math for Simulations

[@poohshmoo9892]

I've been in the game industry for 25 years. Hands down this is the ONLY video on 3d math you need. I wish it was available years ago before I bought 3 different books on 3d math

[@rlhugh]

Wow, in decades, and after searching around, I never saw an explanation of a quaternion that makes me go "wow!" like yours does. Awesome. Amazing insight.

[@grindstm]

solid gold. It's amazing how long you can know something before understanding it. A good teacher is irreplaceable.

[@marcinborkowicz2557]

Your videos are true gold! However, I've go a hard time to wrap my mind around all these concepts. It's a real challenge for me. Thanks a lot for this good job you're doing!

[@7steelrainbow]

Before watching this video I skipped some parts of papers that talk about tetrahedral methods because I had no idea why and how they are used to simulate volume behavior of meshes. Now I got the reason behind it! Thank you very much!

[@bankrupt3am932]

this channel is actually something else.

[@Madlion]

Your videos are beautiful. Especially about PBD. please continue!

[@charless9653]

Man, I wish I'd seen this video a few years ago! I love dense and concise videos like this that don't get bogged down in the details that are irrelevant to graphics. Linear algebra is definitely a broad and interesting subject but right now I'm trying to get triangles on screen, dang it! :P Also, I've never seen quaternions described that way, and this explanation made the most sense to me about why the 4 numbers are there. Thanks!

[@leoli440]

awesome insight for quaternion.

[@voxelltech]

this is really useful! especially quaternions which always bugs me XD

[@nahimyaya1794]

Very useful channel damn!

[@TenMinutePhysics]

I’m glad you enjoyed It

[@siyanchen5090]

what a nice summery !

[@ShirzadBahrami]

Great and useful tutorial, thanks! I have a question and don't know who to ask! I'm trying to create a muscle simulation and it seems that I have to learn about FEM simulation, I want it to be accurate instead of being fast. what should I search for? even a title can help me to understand what to look for. for example, in this video, I learned about "Tetrahedra Skinning" which I knew I need but I did not know its name Is "Mass Spring System" what I'm looking for?

[@ThaisBBaker]

Hey Shirzad Bahrami, don't know if you're still looking for an answer, but when you say "muscle simulation" are you talking about reproducing it's effects on the movement of the bones? If yes, then a mass spring system should do the trick. You should only need FEM if you're going for the response whiting the object. But then it will really be a great quest, muscles tissue physical properties are a mess!

[@mlele7372]

I think the formula for the cross product here is wrong no? Last line should start w ax not ay 5:35

[@robertogracia5830]

At 4:30, the projection is not equal to the dot product as you say.

[@TenMinutePhysics]

N must be unit length as I explain earlier. How would you compute the projection?

[@robertogracia5830]

@@TenMinutePhysics The projection is computed dividing with the length of the vector. And yes as you said it was a unit vector it does work but as you are talking about the dot product in an introductory way, it may lead to confusion as it equates the dot product with the projection of one of the vectors, making it non commutative.

[@myelinsheathxd]

Amazing! All I wish that everyone then can create own physics engine and manipulate other's physics engine!

[@kreyszigrocks]

Agreed this is a fantastic resource! However, I'm confused by the use of cos(a) and sin(a) in the quaternion rotation about a vector definition, when all other sources I've seen use cos(a/2) and sin(a/2). What is the reasoning behind this?

[@robertogracia5830]

Your notation for the Cross Product at 5:30 is wrong.

[@TenMinutePhysics]

The last row should be ax by - bx ay. Will fix it in the slides...

[@robertogracia5830]

@@TenMinutePhysics Thanks, the video is pretty good to convey a lot of information in a very concise way. Very useful indeed.