Math for Game Devs [2022, part 1] • Numbers, Vectors & Dot Product 

why did i wake up to this i hate math

24:40 number line, vector fundamentals 1:05:26 vector in two-dimensional Cartesian coordinates 1:29:14 finding vectors' length 1:42:12 normalized vector 1:52:04 Q: "Is there a term for vector that fits in a square instead of circle?" 1:55:33 finding vectors' length (code version) 2:09:27 vector multiplication 2:17:08 dot product use cases 2:42:10 practice 2:54:21 note about scalar projection 2:55:00 vector projection 3:01:46 assignments 3:20:00 questions

Bout to study all of these in succession! your splines tutorial helped me so much already, thanks for everything you do!

Lecture starts at 24:40 :)

In case someone is struggling with the fact that the vector a-b gives you the vector from b to a and not the other way around, maybe this helps: To get from b to a, you can first subtract b (i.e. -b) to get back to zero and then add a (i.e. +a). So the vector from b to a can be written as -b+a and since we're allowed to flip the numbers (or vectors) around when doing addition, this is the same as a+(-b) or simply a-b.

Wow, this video is absolutely amazing! Freya's method of explaining math concepts for game development is truly brilliant. The way she presents the material is so clear, concise, and easy to understand. The examples and visuals used throughout the video were incredibly helpful in solidifying my understanding of the subject matter. I can't thank you enough for sharing this valuable resource, Freya. You are a gifted educator, and I look forward to watching more of your videos in the future. Keep up the fantastic work!

"a lot of people forget math" Thank you, you are a lifesaver. I am someone from a different field who used to work in web development for 2 years, but I am very passionate about Unity programming and transitioning into it. I have forgotten most of my math, but thanks to this series of yours, I hope it will help me in the learning and self-development process.

I just bumped into this channel, specifically, this video. THIS WOMAN IS AMAZING!!

welcome back Freya. happy to see you again. very good content.

Very nice of you to put all this effort teaching this ❤!

Hello thank you for creating videos like this. I am an upcoming college student who will take this course and I am very bad at math and I am scared to lose my scholarship that I acquired if I fail math that is why I am thankful for you for making these for free

It really worked for me after I look and try some tutorials, yours is the one that worked. Owe you a lot.

I wat to let you know that you have reached your target audience. Just found your channel while learning how to write custom shaders in Flutter(its a UI Toolkit) and while I was also looking for math, I found your channel! Keep it up for all the amazing work you have done!

Thank you for posting these videos on RU-vid!

Thank you so much for posting it!

Thank you so much for making this series.

Hi Freya! Just stopping by quickly (before even watching the VOD) to say thank you for doing this series! We really appreciate you and what you're doing... Even old guys like me who need to refresh our failing memories now and then. 😅Please keep up the good work. 😊

I cannot believe what I am seeing it with my eyes! LOOL TY SO MUCH!

Yes! I'm heading to work so won't be able to watch until later. Thanks for the upload later!!

oh no, I lost it lol keep doing it please, you're my math savior

Thanks a lot for this class.

Thank you very much for creating such free quality resources ! You are so great 🙏

Beautiful and Amazing, thank you!

I really appreciate the courtesy for uploading the stream, thanks.

If my math teachers in middle/high school were lovely people who love cats, I would be a math genius by now I never developed anything, but suddenly had an idea that would make a great game for my final project in college, so I decided to take in the challenge. I’m sure your content will literally save my life. I haven’t even watched an hour of it yet and I already love your way of teaching, I can’t believe you’re putting all this out for free! Thank you so much for all this, Freya. +1 sub!

J'aime beaucoup ton travail !

that art is so amazing!

thank you for your service

Amazing, yet reasonable formulated.

Um actually the vector at 1:32:20 would be a-b not b-a. For length direction doesn't matter, but b-a would point the other way.

heyyy, thanks for doing this!

Man. I just woke up to this playing and I was having a lucid dream where someone was taking me hostage and I had to give an answer to some number riddle. Freaky.

you are great teacher!!!

Hey megabosscat Freya, I noticed after the 1hr ish mark you mentioned that imaginary numbers are not important to game dev, but... Quaternions :)) I get what you are inferring i think, which is that it is unlikely any engine user will ever customise a quaternion implementation themselves and therefore can simlpy just use them when calling to some in-engine wrapper like Quaternion.Something(). But from a mathy POV [which you said you were coming from I think], its pretty important to represent orientations and rotations in game math, especially when aiming not to incur things like rotational edge cases such as gimble lock [when using Euler math to solve for O and R]. Your great by the way, and I'm certainly not trying to throw any shade/or corrective attitude at yuo (i've learned so so much from your content), but I think it might be fairer to say something like "they sit lower down the chain in game math where a dev might not need to know much about the inner workings, but be satisified the math has been proven so it can be used without worry of the constraints that come with using Euler method. ?? i dunno, am I wrong here, or did I misinterpret this part of this absolutely amazing long form lecture?! Thanks for all your super hard work to deliver this stuff, I literally love catching up on your latest videos. [Also, if you have time, let me know if I did misinterpret the whole imaginary numbers section on whether one should at least know about imaginary nums] 🥲

Спасибо! Большое человеческое спасибо!

I really appreciate it.

I love your K702s!

1:00 you are correct, youtube got way more mainstream and approachable for disabled

amazing i just found this channel.

When i got my second job I wanna to thank you with a huge support, thanks Freya !

Legend is back

very well. I want to teach like this . so very clear exercise

Great information and some interesting ways to explain. Thank you very much. Inget e' som gamla Svedala !

thank you so much.❤ If possible, please share the slides with us.

Oh man! your live took place at 5:00 am in my country😫 ...anyway, YOU GREAT✌😁👍

Hello, many thanks for the video. Will you share the board you just draw everything in?

You should teach computational geometry, I think you would be very good at it.

u'r an angel!

Manhattan distance metric. Very fun

Are the assignments available to the public? Thanks for uploading these!

This Video should be mandatory in all Schools Globally 😂

impressive asf

I woke up to this. I left a crochet vid one to fall asleep but this also good

Hi Freya , cant thank enough for these videos -- i am just about to start watching this series , should i watch Math For Game Devs (2020) before this ?

4 hrs ! 🍿engaged 👍

To draw a perfectly straight line in photoshop in any direction. To draw a perfect horizontal or vertical you can hold shift and draw horizontal or vertical. To draw in any other angle, First you must put a dot in the starting point the hold down shift and place a dot at the end point.

very good idea 3:57:xx when you move the formula to the same vector!!!!!

Are there any differences between this videos and the ones you did 1 year ago? Is there more content? I'm doing a videogame master and I would be interested in learning more about math because I really suck hah. Should I watch this new one from 2022 or the old one? Thanks in advance!

Hey, I was always interested in game dev maths that was needed forbthe programming and rendering set ups. You built up the information very well from the basics. Might I ask you a personal question? Do you happen to have Hungarian ancestors? When I saw your username I had the feeling that it looked Hungarian. Thank you for your answer!

I would argue , like calculus, imaginary numbers are used to very frequently. If you're designing your own physics engine. But especially imaginary numbers are used a lot by people. It's just abstracted into functions.

Hey Freya! Are you using plain Photoshop for your live presentation and which tablet are you working on?

First of all, this whole video is brilliant and second you are so beautiful 😊

perfect, try to change the ceros and ones under same writed you

take infinite from cercle to center like with invinite vector stablised in b

good game bro. big fan from noth redriver

I fell asleep, and just woke up seeing this

Not trying to be creepy but your voice is like asmr for my ears! Soothing.

Is it a good playlist for programmers that are new in the gaming world and have a basic knowledge of math ?

okay, so a vector is just a point that can become something based on context, like a position, direction, or offset?

Lol at RU-vid UX with not being able to find the superchats. Idk why but RU-vid has a really bad UX in the app and I guess on desktop with live chat too.

How does this distance formula looks in the equation? 35:40

Great!!! 🙋🏻‍♂️👍

you almost always have your headset on, is it a habit just to casual have it on or do you actually have it playing something? I just like to have it casually myself...

Question: what is the name of the artist who did the cover/illustration for your chanel?

What is a hotkey in photoshop to swicth between colors in a swatch? like here: 31:43. But sometimes you choose color with a cursor...

i'm a graduate and im stuck on the first assignment. Don't want to look anything up. My prospects are over before they even began...

I will watch this video over and over again. 🤍

I love your cat!

Good video. I appreciate the work. The constant zooming in and out and moving around the screen towards the middle of the video drove me nuts though.

easiest sub of my life

it helps me a lot

I think tour right using RU-vid vs Twitch! 👍👍👍👍

25:18 WHO STARTS THEIR 4 WITH THE LINE FIRST

What course is this from where you teach?

I would have joined the live stream, but I was fast asleep.

Hi there, What exactly is this? And what are the examples of its uses?

Hey Freya Holmer why not write math book for gamedevelopment

Came for learning math for game devs, stayed for the most based AI image generation opinions by Freya

is it possible to create bouncing laser without cross product? I can't understand how to reflect ray using only dot product. I know that hit point, normal, and direction makes a plane that can have only 2 ortogonal. i want to get one of them to get annother orthogonal and then reflect my ray with normal and second vector orthogonal to may ray (first is normal). Can someone give me a hint on how I can achieve this with just the tools in this video?

Awesome!!

Thank you for this excellent lesson that has taught me how to commit crimes with both direction and magnitude

What university let you own your likeness and lectures?

which country are you from

Im confused about vector normalization marking, at first it was: a/||a|| but later it says: a with a hat ^

Wao q padres conceptos... 🙊!

Barn Som skriker får med stor sannolikhet för lite uppmärksamhet.

As a dev, you need calculus to do what I do love. ;)

Next class?

SPOILER ALERT: 3:37:00 Floofer Scooter

if i suck at math can I still become a game dev