The real world applications of the dot product

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[davidliang]

When people go into video game design, I hope they know it's nothing like playing video games. It's a lot of arithmetic and logic like this.

[sasimitra]

Vectors really need a better introduction in classes.
It's made to seem like it's a really boring thing with too much visualization and math.
They are some really cool stuff that is awesome, that deserve more love and respect

[franciscodanconia]

If I were a math instructor, I would pride myself on showing a practical application for every concept I taught.

[SenthilKumar-qqte]

When teaching Math at School, with every topic, there should be an Introduction that explains the practical purpose or examples of some real world applications. This will encourage students to pay attention.
I've no idea why on earth should i learn complex numbers in high school and to make it worse, it was given a name "imaginary number" and letter "i" was used to represent it. They should change it to letter "j" and use "complex" instead of "imaginary".

[RCSmiths]

Always was interested in Dot Products, yeah Vectors are easily applicable to pretty much everything in the foreseeable world, but something as really specific as the dot product is quite intriguing for its uses. Maths always has its place in the universe.

[cogitoergosum]

Would you do on Cross product as well??? I think that needs more of
"Zachary explanation ""

[royelhajj]

It’s insane how your channel has evolved over the years! You have truly inspired me with every video! Keep it up and stay safe !

[ProjectBetterment]

Before watching this video, the only real-world application of dot product I knew was to get good grades while majoring in physics. Nice

[InfinityMW]

Hats off to you Zach for making concepts a hell of a lot easier to understand!

[abhinavchauhangujjar]

creating animation, learning about these things then explaining intuitively and synchronising sound and video is a lot of work, ,i really appreciate that, i used to think maths is just random equations and has no use and importance but i don't see maths like that any more, . thanks *zach starr*

[DaysMonkMode-ftkf]

Thanks a lot! I am a person that can not understand without the logic behind the concept and daily usage of it and these type of videos are helping so much. I subscribed.

[iscifion]

Thanx for answering questions about my favorite subject.

I used to wonder about use of these in real life.

[dereksavage]

When I first saw your content, it was harder to follow than the other science YouTubers, but as I take more math courses I enjoy your content more and more. Thank you

[manojbhumanand]

This video blew my mind.. I've been doing dot products for a long time without knowing any of the actual applications. Thank you!!

[efraimkent]

came here from a video about electronics engineering, which is one of my degrees, wanting to understand dot product but was pleasantly surprised when almost half of this video basically explained lighting in game programming (or ray tracing) which is my current field of study :D

funny how the youtube algorithm actually seems to work for real sometimes (while completely broken all other times)

[landonoffmars]

The dot product is also used in transforms. For example, in the discrete Fourier transform.

It's a pleasure to be a subscriber of your channel. Thanks.

[hadiakbar]

Thank you for the information. I would like to add that Dot products are also used in spectral interpretation in Mass Spectrometry (MS) technology. Briefly speaking, they used dot product to identify a spectra of a sample (in MS, they "transform" samples into ions which will be detected by the MS. these will produce a complex "zigzag lines". These lines are spectra). The spectra of a measured sample were compared to a reference spectra (have been obtained beforehand and validated) via dot product.

[beyzaucar]

I feel thankful. You deserve everything.

[pinklady]

This is my first time learning dot product. Thank you.

[jdslin]

awesome explanation of the raytracing equation