Vector Math Node Demystified and Visualized in Blender

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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:

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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Комментарии

Thank you a lot for this video! Vectors make a lot more sense to me now! I´d love to have those visualization nodes too.

millthor

Great video. Best way of teaching math. Thank you so much

ganapathym

Thank you for All your awesome So glad i found your account🙏 best wishes from Germany!

xmarunpk

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!

edwardserfontein

The best video about this on Youtube so far. Pretty neat job. Thank you for sharing !

captaincabri

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

vstreet

A very clear explanation! Thank you. I'm glad I found your channel.

Guggel

Thank you! Please also demystify Light Path. Has lots of options too!

NoelLudvigson

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.

DoraFurlong

plz can you provide me the vector visualizer node?

MEGTON

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.

enva

This video is incredible useful, thanks a lot!

mist_nc

Please do a video on how you made the vectors and the plane.thank you so much for this video

christophertinklerart

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?😉👍

drpepa

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

hakankosebas