"Imagine driving over a booster in mario kart at an angle and thinking about how much it boosts you." THANK YOU. That is a 1,000x more helpful than any other explanation I've seen. I now feel silly looking up an explanation for such a simple concept.
@stephanievolpi18173 жыл бұрын
SAME. I've been re-reading a textbook chapter on Dot product, not finding a way to make it visually relevant, but this example helped a lot.
@shrishm22032 жыл бұрын
Lol I would say this is the best explanation possible
@jamietherooster6 жыл бұрын
thank goodness, I've searched for days trying to find anyBODY to explain to me what the dot product is actually for and why it is used. They all just want to tell me how to use it. subbed!!!
@georgeblack19776 жыл бұрын
couldnt have said it any better
@vsingh-264 жыл бұрын
Exactly! , I don’t understand why mathematics teachers don’t teach like this.
@danielkarlsson67842 жыл бұрын
That Mario kart boost analogy is gold! Thank you for posting this video
@arnavaggarwal88264 жыл бұрын
This was absolutely brilliant. Cleared my confusions of what we get from a dot product. Very well explained. Thank you Better Explained, now I can go through any annoying physics question.
@markdstump5 жыл бұрын
Best Dot Product discussion I have seen!
@shubhamg94952 жыл бұрын
Oh man, you finally gave the intuitive idea I was looking for sooooo long. "Multiplying the same components" is what I needed. Now, I can finally understand that dot product is basically multiplication but we multiply the same components and since they usually don't have the complete same direction, we kind of project one to the other (kind of like shadowing one onto the other to get the true component which follows the same direction as the other) and then we happily multiply. Hopefully I didn't mess up writing this cuz I am bad at explaining my intuitions but thank you so much for this video!
@joshuachoi_5609 Жыл бұрын
His explanation makes all other videos look unreasonably complicated, remarkable job, sir. Thank you.
@xDevoneyx4 жыл бұрын
You rock! The similarity between the vectors. Great, that is what I was looking for, for days! Many thanks for creating this video. Very clear explanation!
@jimkeller38686 жыл бұрын
Wow....the only explanation of this anywhere, at any time that gave me a sense of what the dot product truly means, after so many years! Thank you sir. I thought it was me, but now I realize that most teachers have no clue how to explain it. Don't stop making videos.
@potterhead9116Ай бұрын
Sir i am from bangladesh. I have been looking for the REAL meaning of what dot product actually is from a long time. You really dont know HOW MUCH your video just help me. THANKS A LOT SIR. REALLY REALLY THANKS A LOT .
@benjaminlipson43134 жыл бұрын
Bruh that mario kart example was genius, thank you
@adamhall71006 жыл бұрын
Great explanation. I really like the visual approach where you broke down the vectors into horizontal/vertical and showed the distribution/overlap. That's super helpful for visualizing where the formula comes from.
@pa.l.24993 жыл бұрын
Right down to the heart of the matter. Thanks for getting to the point. Best explanation I have seen on the internet of this without fancy wow VFX. Subscribed.
@TomMKW6 жыл бұрын
mario kart boost panels do actually give you a boost in speed no matter in what direction you drive over it, so the analogy isn't exactly correct. However it would be correct for the conveyor belts on the map ""Toads Factory" in mario kart wii.
@danielwalsh19124 жыл бұрын
Thank you! The solar panel and mario kart examples gave me an actual use case and reason why we use the dot product. Well done!
@ctobi7073 жыл бұрын
I don't think i have ever been more mind blown in my life. thank you
@alexfowler16835 жыл бұрын
This is truly great! Thank you very much. I hope you have a lot of inspiration in your life because you do wonderful things.
@McFlyT285 жыл бұрын
Fantastic explanation! Please keep up the good work. The world needs more great math teachers.
@axeldaguerre88384 жыл бұрын
It was i think the clearer explain of math principle i have ever seen, you really choose each words your will prononce, it was gold for me 💎. Thank you.
@matthewm.17386 жыл бұрын
I can't describe how helpful this was! THANK YOU!!
@SoulsStride5 жыл бұрын
Thanks so much for your video here. I was looking everywhere for intuition on the dot product value and finally someone has explained it. Just subscribed
@trevorsaunders18966 жыл бұрын
wow. Sir you do not understand how useful this was to me. At such a remarkable timing as I just started calc 3 and physics 1 last week. Instant like and I am now subscribed.
@stefanwaldegger20482 жыл бұрын
I understood it. Perfect explanation. I am now using it to calculate the distance of a point and a segmented line. Really, thank you!
@StrayVertex6 жыл бұрын
Best explaination I've come across so far! :) On to cross products...
@jordanmakesmaps4 жыл бұрын
That Mario Cart analogy... My god, all math textbooks need to be revamped with these sorts of references.
@silenceplease6069Ай бұрын
dude, you are a legend, your didactic is so good
@larbi83025 жыл бұрын
Man you saved my life :). Thanks for this great work
@arvindpillai258710 ай бұрын
Finally understood what the dot product actually does and where its applied,indeed better explained thanks for this video
@Zephyr-tg9hu4 жыл бұрын
This was just perfect. Thank you so much!!
@kiyamir Жыл бұрын
Honestly, I can't remember/learn anything until the context of it is clear, and this helped SO much 🙏👍
@Amine-gz7gq Жыл бұрын
You rock man ! now I understand where the algebraic definition comes from
@turbo62663 жыл бұрын
bruh i spent the whiole day trying to understand, then i watched this... thank you you beautiful American man
@kiyamir Жыл бұрын
This is the greatest explanation ever! Thank you so much.
@pratikdeoolwadikar51245 жыл бұрын
Thanks a lot, I needed to know more on dot product projection/similarity relationship between vectors, got my answer.
@joesatch2454 жыл бұрын
This is a really great explanation, thanks!
@renemartinez30144 жыл бұрын
Great video, very well explained. Thank you!
@abaeee9 ай бұрын
This gives me the best intuition! thank you
@azklinok6 жыл бұрын
GREAT explanation. Thank you! And I hope you'll continue to upload videos (:
@betterexplained6 жыл бұрын
Thank you!
@sumayyakamal88573 жыл бұрын
amazing you are!!! THANK YOU.
@just4listening4 жыл бұрын
exactly what I need, great video, subscribing.
@theamici5 жыл бұрын
I like the name of your channel. That's how it should be!
@Juneoreo6 жыл бұрын
Thank you Khaled! I never thought about it as a rotation. Can you explain why the shorter vector is projected to the long one and not the other way around?
@Juneoreo6 жыл бұрын
Chela Weitzel thank you!
@iknowimreal3 жыл бұрын
Wow. Thank you so much!
@indigo00866 жыл бұрын
This is great.
@musicalsimon6 жыл бұрын
how does this extend to the dot product of 2 matrices?
@SupeHero006 жыл бұрын
What is that picture behind you?
@ahsankarim40126 жыл бұрын
great video!
@frankied.28284 жыл бұрын
OMG YOU TAUGHT THIS TEN TIMES BETTER THAN MY MATH TEACHER> THANK YOU
@cemalialtuntas4 жыл бұрын
Thanks, it was a clear expression.
@seancodes24406 жыл бұрын
Ty!!!
@lincolndexter95144 жыл бұрын
Excellent video and good slides
@diyabatool16624 жыл бұрын
Why are we multiplying the components ?
@mattrymer9901 Жыл бұрын
Super helpful. Thank you
@TannhaeuserGate2 жыл бұрын
Whoever you are: Thanks!
@justinchow16443 жыл бұрын
this is mind blowing information imo
@mansonwong56765 жыл бұрын
I understand the Mario Kart one but for the solar panel one if you have the solar panel flat is the sun not hitting it at a 90-degree angle which means that you get the highest amount of energy? But if you do cos 90 you get 0 so that means no energy. Explain
@vikidprinciples2 жыл бұрын
brilliant explanation.
@masterchief15205 жыл бұрын
happy math ? thats like the most romantic thing anyone ever said or will say
@abhiarv12926 жыл бұрын
Please include cases where the directions are opposite. Thank you. Great video
@zazkegirotron6 жыл бұрын
I'll try to help you. let u and v be vectors. you know -u is just u flipped over, don't you? then -u · -v is exactly the same as u · v. (flipped over but we are just measuring the amount of u and v overlap as explained in the video). also, try to think the real numbers as 1-dimensional vectors. multiply them together. multidimensional vectors behave in a very similar way.
@Leizazure6 жыл бұрын
the sleekness screams professional but the glasses scream true professional
@betterexplained6 жыл бұрын
👍
@brunomartel46393 жыл бұрын
This is what genious looks like
@lastchance8142 Жыл бұрын
Where can we find the text pages you have displayed? Is that from a book or online coirse?
@davidmurphy5632 жыл бұрын
Ah, you were doing so well. Your "rotation method" is actually a projection method. If you rotated one vec onto another you'd just get the length. This is the cosine. Or maybe that's what you meant and I didn't get you. Perhaps you meant rotating the frame of reference to put one access on the x.
@p_29232 жыл бұрын
bruh ty sm this helped my mcat prep
@ahmedelsabagh69904 жыл бұрын
Great explanation
@xandersafrunek21513 жыл бұрын
I wonder if mario kart is actually coded that way.. it always seemed to me like the direction did not affect the boost. Either way, this is still a great example for building intuition.
@kanivakil1985 жыл бұрын
Shit, I'm in luck; no fucking whack accent! Gold!
@livelong25713 жыл бұрын
Best!
@zhoushiyuanxue86735 жыл бұрын
Best! BEST!! BEST!!!
@roundchaos Жыл бұрын
amazing
@milanmajumder86883 жыл бұрын
why in dot products only the same directional parts are being counted? why Ax.Ay = 0 ? Why mathematicians thought that this is a way of multiplication ? what has the intuition of multiplication been in their mind ? how they approach multiplication ?
@sherazhassan383 Жыл бұрын
But does this give us a scalar product and not a vector product
@evaneske25102 жыл бұрын
you are amazing
@ELarivie4 жыл бұрын
I have a question; you mention two examples: the mario cart example and the solar panel example In the solar panel example, you say if the vectors are parallel; then no energy is absorbed and nothing is in common In the mario cart example, you say if the driver and the booster are parallel then maximum speed is gained because everything is in common These examples seem to cancel each other out; can you elaborate?
@MikaelMDR394 жыл бұрын
In the case of the solar panel, the vector representing the surface of the panel is perpendicular to the panel. When this vector is aligned with the vector representing the rays of the sun, the panel is perpendicular to the rays of the sun and the dot product is maximal. If you do a 90° rotation of the panel with it representative vector, you can observe that the vector is perpendicular to the rays of the sun (which means a dot product of zero,) and the panel is parallel to the rays of the sun (nothing passes through the panel).
@arnavaggarwal88264 жыл бұрын
It is the surface which absorbs the energy but not in the direction you have assumed. Think of the panel's surface as the surface of a water body. The light rays entering this medium are perpendicular to the surface but the absorption of these rays is in the same direction as of the rays. Thus the direction of absorption coincides (is parallel) to the light rays and these both directions are perpendicular to the surface. In a comparison, as the angle between the light rays and the surface tends to 0, the angle between the light rays and direction of absorption tends to 90 degrees. Therefore, this 90 degrees gives us 0 when dot product of light rays and direction of absorption is taken. Hopefully that should help. Although it has been 5 months, you might have figured this out already!
@harsharya5453 жыл бұрын
Bhai maje aage
@nadyanabahi8259 Жыл бұрын
You're a blessing! Thank you so much, it wasn't making any sense
@christinatruong72655 жыл бұрын
What a babe
@haileyrolston4097 Жыл бұрын
Ily.
@robinpetersson30812 жыл бұрын
I understand it now, but I think some animated vectors would have helped explain it.
@harlbertmayerh75233 жыл бұрын
If I don't play Mario, this video decrease 40% to makes me understand
@melodious5945 жыл бұрын
Why dot product of 90° is zero why
@betterexplained5 жыл бұрын
If you travel 1km North, how far East have you gone?
@melodious5945 жыл бұрын
Better Explained zero ,. I got it sir ,, many thnks
@melodious5945 жыл бұрын
Better Explained ,it means let there r 2 vectors , a,b , then in the direction of b , influence of (a) vector would be zero ,. Then any object which is in the direction of (b) vector only feel influence of b's vector magnitude,. Is am right sir
@zes72156 жыл бұрын
no such thing as better explx or not, me explx/can explx anyx by anyx no matter what and anyx can be perfect