Vector Math Node Demystified and Visualized in Blender
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- Опубліковано 31 лип 2024
- This might appear to be very basic to some of my audience, but I believe a large chunk of people will definitely benefit from these explanations.
I'm currently working on preparing content for an engineering course (Visualising Engineering Math). I am slowly building up the primary nodes required to hopefully visualize calculus, followed by Fourier and Laplacian transforms within geometry nodes.
If anyone has any ideas in that regard, on how I could make the course more interesting for the students or other mathematical concepts that I could visualize, I would love to hear them.
Relevant Previous Videos:
Logo Reveal Using Simulation Nodes and Vector Math:
• Cinematic Logo Reveal ...
If you have any queries, questions, or suggestions, comment below and I'll respond as soon as I can!
More sci-fi animations, wallpapers, loops, motion graphics, etc. using blender3D or other completely open-source free software will be coming soon! Stay tuned!
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Time-Stamps:
0:00 Intro
0:20 Vector and VisualiZing Them
2:23 Vector Addition and Useful Properties
4:29 Vector Subtraction and Properties
4:57 Scalars Vs Vectors
5:44 Simple Vector Multiplication
7:00 Cross Product
9:57 Dot Product
12:27 Normalization
13:49 Scale
14:50 Length and Distance
16:00 Other operations
16:41 Outro
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Thank you for sharing this with us! 🙏
Great video. Best way of teaching math. Thank you so much
Thank you so much!! I'm really glad you enjoyed this form of teaching math :)
Thank you for All your awesome tutorials!!!!! So glad i found your account🙏 best wishes from Germany!
Thank you so much!! I'm really glad you found my account 😊
Thank you, once again!
The best video about this on UA-cam so far. Pretty neat job. Thank you for sharing !
Thank you so much! I'm really glad this video helped you understand the node better. :)
This is a very good math video. What many artist struggle with is how you would use it to create something. Either way, well done!
Thanks!
I've been using the Vector math node for many of my other tutorials. Hopefully this video in conjunction with the other tutorials on my channel will help artist understand how to create various effects using this node.
Thank you for the idea. I'll try to make a video talking about different ways in which you can create things using primarily the vector math node.
A very clear explanation! Thank you. I'm glad I found your channel.
Thank you so much!
I'm happy that video was helpful and I'm also glad that you found my channel :)
This video is incredible useful, thanks a lot!
Thank you so much! I'm glad you found it useful! :)
This is such a great explanation of these math nodes. The additional visualisation technique really helps. With your help I now understand a little more. In time, maybe I will better understand why and when to use these nodes. I will keep watching your excellent tutorials. For now, thank you so much for sharing your knowledge. THANK YOU! Dg
Thank you so much!
I have a few videos that use simulation nodes where we use the vector math nodes, however, I'll definitely be using them in future videos as well, so you'll definitely get more examples of when and why we use them.
I am slowly watching all of your videos. They are ALL so useful. Thank you for your help and explanations. THANK YOU! Dg@@deayanstudios
Thank you! I really appreciate it and it genuinely makes me happy to know that the videos are helpful :)
Great video, very helpful
Thank you! Glad it was helpful 😁
very nice explanation. Thanks
Thank you so much! I'm glad it was helpful :)
Starting to understand...- 1000 tx!
Thank you!
I'm glad the video helped you understand :)
You're welcome 😁
You took care of my emergency！thanku~
I'm glad you found the tutorial right when you needed it :)
Thank you! Please also demystify Light Path. Has lots of options too!
Thanks!!
Definitely will make a video on the light path node as well. It's extremely powerful and underrated.
Thank for the suggestion!
Here's a video explaining all the different Possibilities with the "Light Path Node":
ua-cam.com/video/LyJTsmvyZko/v-deo.html
I hope you will do a video on creating the vector visualizer. It would be good to create it as a way of deepening our understanding of how vectors work and as a way of working with it ourselves to understand what will happen when we decide to use one of the math nodes.
Thank you!
I've made the vector visualizer node available for everyone to download over here:
www.patreon.com/posts/90069650?
Feel free to download and play around with the vector visualizer node in any way you want and I hope it helps give a deeper understanding of the nodes :)
the video is very useful, thank you very much!
Also your vector visualization tool would be useful for experimenting on your own.
Also, a tool that visualizes the value in some way other than setting it to one of the vector axes (X=value, with Y=0 and Z=0 as done in the video) would be useful. For example outputting the value of the value into a text output or just text. This may also be useful for better understanding when experimenting with what comes from where.
Further, from the video I didn't understand about the results of nodes creating noise. Such as noise texture, musgrave, wave, voronoi. Principle visualization of the texture on the sides of the object (polygons) gives an understanding of how these noise generators work and what their difference is. But they have the same name vector output, which gives different vector values at each point of the object polygon. This is confusing. I would like to get a visualization of the results of this noise node output to better understand how to represent these noises in space, as well as what values this node output gives.
I really hope that I have explained my problem of understanding clearly.
Once again, respect for the work done.
Thank you so much for the detailed comment! I really appreciate the time and effort :)
You can grab the vector visualization node for free from my patreon.
Adding in the option to be able to see the values as text objects is also a very intriguing idea and I will do my best to implement it someday soon and make a more versatile visualization product soon.
For visualizing exactly how the noise and voronoi textures are actually mathematically created, you can check out these two videos of mine:
Voronoi Texture demystified: ua-cam.com/video/dSlpNqMGwZM/v-deo.html
Noise texture demystified: ua-cam.com/video/kxnHIncuxkU/v-deo.html
I hope these videos will give you a basic understanding of how the various nodes work. I highly recommend watching the voronoi texture demystifying video fully first.
I will make an even more detailed version of the noise texture also soon.
I hope these videos help :)
plz can you provide me the vector visualizer node?
Hi,
Since you asked for the node, I have made a new post on my Patreon page with the blend file that contains this node.
It's free, so when you go to my page, you will be able to download it without having to sign up or anything.
It's the first post under recent posts.
I hope it helps :)
Very clear explanation.. but wouldn’t it be a nice bonus to have some eye candy at the end of the lesson.. similar to the thumbnail i clicked on?😉👍
Thank you so much!
Thanks for the suggestion. I'll try to add in various applications and such of the topics taught as eye candy in the future videos.
In tomorrow's video, I'll be going through a step by step tutorial on how I create the thumbnail and the starting animation, for those interested.
Please do a video on how you made the vectors and the plane.thank you so much for this video
Thank you so much!
I'll definitely consider making a video on it someday soon. But until then, you can get the vector visualizer node for free on my patreon:
www.patreon.com/posts/vector-node-free-90069650?Link&
I hope this helps :)
Can you visualize geometry node vectors in shader editor? But not using seperate xyz, that gives me black and white color and meaning nothing to me, I want to see them in vector format
That sounds fairly interesting. It would definitely be a bit harder to visualise it in the shader editor, although it's doing the same as the geometry nodes vectors.
I'll think about this and if I can come up with a nice intuitive way to visualise them, I'll definitely create a video on it
thx. ..🙏💥🗯💭💨🕊
.....thx........thx...........
Thank you so much!
i would like to know how is the vector visualizer done
Hi!
I'm sorry for the late reply. You can get the vector visualiser for free from my patreon over here:
www.patreon.com/posts/90069650?
Wonderful explanation. I would like to see how to create the various nodes so that I could work through the scenarios myself
Thank you!
I'll definitely try to create videos like that soon!
@@deayanstudios, I can get part of the way toward making it, but I am missing something somewhere. No doubt, once you post yours, I will find that I was on the wrong path entirely. Thanks
@@bradenpintar I'm sure you'll be abe to figure it out real soon.
Are you trying to create the vector math node specifically using more basic nodes?
great information bro🎉🎊✌️🙏🙏🙏
आपका कोई हिंदी चैनल है भाई जी 👍
Thank you!
Not as of now. I do believe that UA-cam will be having AI dubbing for many languages including Hindi very soon. Hopefully when that happens, it'll be of great help to all of you.
@@deayanstudios 🙏🎊
Video is super useful - but there is some steam coming from my head now
Is that supposed to be like that?
Thank you so much! 😂
Don't worry. You'll slowly get used to the steam as you start getting more mathematically involved :)