What are vectors? Me when doing physics: It's an arrow with a direction and magnitude. Me when doing computer science: It's a set of numbers, such that their order matters. Me when doing abstract linear algebra: Vectors are whatever I want them to be.

@ivansantos1891

2 жыл бұрын

That's exactly what I thought when I had classes of Linear Algebra 😂

@CharlesPanigeo

2 жыл бұрын

Lol right. Vectors are members of a vector space. Whats a vector space? Well its a space of things we call vectors.

@ivansantos1891

2 жыл бұрын

@@CharlesPanigeo "vector space" is basically the most abstract thing i've ever learned in math. "Learned" because after it the things become more difficult

@CharlesPanigeo

2 жыл бұрын

@@ivansantos1891 I've found thats how it is for a lot of people. In my undergraduate linear algebra class the majority of students were either CS or engineering students. They said the same thing you said about vector spaces being the most abstract thing they've learned. I had the same experience until I took an abstract algebra course later in my degree. Now I'm working on my masters in mathematics and my thoughts have changed. Abstract is a relative term. What was once very abstract is now easily understood. What I'm learning now seems abstract, but down the road i will probably think they are very concrete.

@ivansantos1891

2 жыл бұрын

@@CharlesPanigeo interesting

What's our vector victor? We have clearance, Clarence. Roger, Roger.

@ViliamVadocz

7 жыл бұрын

Doesn't make sense since Clarence was asking Victor for the vector and then said said Roger to some other Roger.

@BenAHowell754

7 жыл бұрын

Surely, you can't be serious?

@Nahuman

7 жыл бұрын

I think he was being facetious. And don't call him Shirley.

@123JimmyTheCookie

7 жыл бұрын

My favourite film ever

@ViliamVadocz

7 жыл бұрын

Of course not.

His voice is so soothing........ I have no idea why

@frankschneider6156

7 жыл бұрын

+Hannah Leanne because you turned the sound off ?

@owenloh9300

7 жыл бұрын

agree

@bobross3356

7 жыл бұрын

I know right? I think he's the grammar guy from Khan Academy. I'm not sure

@VIDEOEPPO

6 жыл бұрын

I was just going to type the same but you had commented already. If only this guy was my professor, i would never have flunked!!!

@zennologyofeverything7265

6 жыл бұрын

I hate voice Fry tbh....

“Vector, because I’m committing crime, with direction, and magnitude!”

@paolarocha5992

4 жыл бұрын

OH YEEAAHHHH

@sharonsmith4324

4 жыл бұрын

OHHHHH YEAH

@sudhirchaudhary6512

3 жыл бұрын

OH YEAH

@azure.6874

3 жыл бұрын

OOOOHHHHHH ʸᵉᵃʰ

@SuperBhavanishankar

3 жыл бұрын

⁰⁰⁰⁰H Y3AH!

Q: what do you get when you cross a mosquito with a mountain climber? A: nothing. You can't cross a vector with a scalar.

@ThatControlUser

4 жыл бұрын

Heh

@clover4135

4 жыл бұрын

wimpykidfan37 I don’t get it

@ngoctramle253

4 жыл бұрын

Ace Spade you will get there someday.

@GamingKing-jo9py

4 жыл бұрын

@@clover4135 mosquitos carry malaria so they are a malaria vector. Scaling also means climbing. And with you can't do the cross product with math vectors and scalars

@vivianaxxr

4 жыл бұрын

best intellectual joke ever

it's amazing how I learned this yesterday in physics and now there is a video on it. this isn't the first time it's happened lol

@badatphilosophy

7 жыл бұрын

I remember learning about eddy currents in physics class one day, and that very same day after I got home and was watching youtube videos, I came across someone with the username eddycurrents. legit

@spacepopeXIV

7 жыл бұрын

+Zayden Blaze It's weird how the world works

@gamergirl3031

6 жыл бұрын

U have V's picture Do u like BTS? Cuz I love them 😘💖💖💖

@shruggzdastr8-facedclown

6 жыл бұрын

kumquats: Could it have anything to do with you being tiny citrus fruits, or is that completely coincidental?

@user-sy2vd3kn2x

5 жыл бұрын

Its because youtube monitors your cellphone's mic

I thought Vector was a villain in Despicable Me. I'VE BEEN LIED TO

@736Jar

7 жыл бұрын

no no no! that's the thing, there were no lies, he says he was named after the mathematical term!!!!!! watch his intro scene "because i'm committing crimes with both DIRECTION and MAGNITUDE....OH YEAHHHHH"

@hijack69

7 жыл бұрын

I knew someone would make this comments

@glitchingsky58

5 жыл бұрын

Irving Washington is this an r/whoosh?

@-hitman-9103

4 жыл бұрын

Krystal_ Lillypøp read the last phrase

@kokomrade2541

4 жыл бұрын

The video: *YOU JUST GOT VECTORED*

we need more mathematics video people ! please make more !

@clipit4503

4 жыл бұрын

use khan academy totally free and educative!

@ganeshprasad9851

4 жыл бұрын

@@clipit4503 dude that's 3 years ago! What a bummer :(

@colleen9493

2 жыл бұрын

@@ganeshprasad9851 lol

@isibanidevelopmentpartners5824

2 жыл бұрын

Yeah that's true.

If you’re watching this in high school… actually pay attention in your math classes. I’m about to graduate college, and I have to return to studying things like this because it actually has use.

@safinaxo5940

Жыл бұрын

I was told I wouldn't need math in college, until calculus hit me like a freight train and now here I am learning 11th grade maths and physics from the internet.

@chichobar1705

Жыл бұрын

@@safinaxo5940 God...

@safinaxo5940

Жыл бұрын

@@chichobar1705 if you're still in high school, take your science classes very seriously. Trust me you're gonna be grateful you did.

Already knew vectors and scalars. But tensor, that's new

@atharvpathak9062

4 жыл бұрын

@Doomblaze- By the way, moment of inertia is also a tensor

@_veselin_5048

4 жыл бұрын

Pls tell me whats a Vector2 vector3

@loop5720

3 жыл бұрын

@@Shadow0.0001 lmao

@Iamtwohundredtwentyfive

3 жыл бұрын

@@Shadow0.0001 lol precise but not accurate

@mastershooter64

3 жыл бұрын

*A tensor is a mathematical object that transforms like a tensor*

When I learned the vector in the high school and the college, I never understood why I should learn it. Now I do understand. I wish somebody at the school should have explained this way. Thank you, David for your excellent lecture.

@dontwastetimeyouarelosingr8172

3 жыл бұрын

Just learn it you will understand in future classes

@Inquisite1031

7 ай бұрын

Funny thing is the video didn't even mention the most use case of vectors, which is to represent numbers of dimensions higher than 1

really needed this right now! you guys are doing a really really great job can't express how good these videos are.....keep up the good work

@BenAHowell754

7 жыл бұрын

Surely, you must be trolling

@kenzaelfellah

7 жыл бұрын

+Major Kong I actually learnt this at school and he probably did too so why would he troll? This really helps for a test paper

@AhsenJabbar

7 жыл бұрын

I'm talking generally.... like the whole organization is doing a great job... not this particular one

@AhsenJabbar

7 жыл бұрын

+Kenza Elfellah yeah... and whenever i have a test and they have a video on that, i just watch that video and that's it...I'm totally prepared for the test...

@kenzaelfellah

7 жыл бұрын

+Ahsen Jabbar yup👍

I like to pretend I understand these

@payelsutar3208

5 жыл бұрын

LiterALLY🤣

@XBankFdero

5 жыл бұрын

😂😂😂😂me too bro So don't worry u9

@toriningen4792

5 жыл бұрын

these words sounds very complicated

@shubhankardasgupta4777

4 жыл бұрын

@@MAC-vi7fy nope, in high secondary... don't be a jackass.

@hidgik

4 жыл бұрын

Me too# Movement of inertia.

Although I loved the idea, I think the way vectors was explained was not particularly clear to those unfamiliar with them, but too simple for those familiar. Especially with the complex, unnecessary section on array and vector transformations which just complicate introducing and explaining what one is, I don't feel your "What is a vector?" video really did a good job on answering the question. However, from Tensors onwards I felt was very well done and interesting, and it's a shame the first section was not the same.

@HermanToMath

4 жыл бұрын

Totally agree with you!

@slkjvlkfsvnlsdfhgdght5447

4 жыл бұрын

I completely disagree

@trolloftime5340

2 жыл бұрын

@@HermanToMath hello 阿 sir

"I COMMIT CRIMES WITH BOTH DIRECTION AND MAGNITUDE... OH YEAH!" - The REAL Vector.

@athan13590

4 ай бұрын

They're the same vector?

Best animation I've ever seen, from a design pov.

tfw this video dropped right when we started discussing this in school

@SiddharthKarunakaran

7 жыл бұрын

You ever heard of coincidence, yrjosmiel73?

@babatulani6361

7 жыл бұрын

Siddharth Karunakaran exactly.

@leonardoreyes8235

7 жыл бұрын

+Siddharth Karunakaran Or a conspiracy?!

@babatulani6361

7 жыл бұрын

I Have A Blank Face EXACTLY

@SiddharthKarunakaran

7 жыл бұрын

What is TFW?

This is very straightforward, easy to understand and practical. Thank you for the explanation.

Thank you for posting this just after I had my Physics test.

Precise, Crisp! Beautiful narrations! Thank you!

the most awesome explanation i have seen on vectors! thank you TED

i really like this narrator

@lioness9039

3 жыл бұрын

Kindly see this video examination in life never give up -kzread.info/dash/bejne/nWirltKam5mchpM.html

Ted-Ed videos just never fails to explain seemingly complex concepts beautifully. That's why we always finish the video feeling in awe. 👏🏻👏🏻

I wonder if this was the best short tutorial I've watched. Deeply grateful.

My thougths: What does it mean? It means Accelerator is fujcking smart af!! (Kudos to anyone who knows the reference!)

@kazzfuchsia1073

7 жыл бұрын

Me. I heard about vectors from that anime.

@anzeg-

7 жыл бұрын

Yoroshiku

@humidsnake1291

5 жыл бұрын

New season dropped

@berry.x9388

5 жыл бұрын

Indeed he was! His strength doesn't come from power alone. If he wasn't smart enough to do all the calculations needed he wouldn't be called the strongest in Academy City!

@kiwoxgen9929

3 жыл бұрын

I thought that dude just throwing stuff & able to levitate That's it

Great! I love almost every TED-Ed video.

@olympiasnowstorm6254

7 жыл бұрын

almost? lol

@quangtoki8377

7 жыл бұрын

+Olympia Snowstorm look at his profile picture

@olympiasnowstorm6254

7 жыл бұрын

Project Yisus XD

@seppa340

7 жыл бұрын

What's wrong with it?

One of the finest explanations, that I had till now.

Thanks for explaining this. It makes it so much more simple. God bless you.

Vector, Direction and MAGNITUDE!

@chiimumango3979

2 жыл бұрын

OH YEAH!

Thank you. You explained vectors better than my physics teacher.

Beautiful to see again after having used this for school

очень красивое объяснение, спасибо!

Mathematicians: A vector is an element of a vector space, if you can't understand it, then git gud skrub

his voice helped me stay interested in any topic discussed

I thought a vector was a type of criminal partnered with direction and magnitude, but this video really opened up my eyes to the astounding reality of vectors! Thank you once again TED-Ed! 😌

This is how education should be

It’s a mathematical term. A quantity represented by an arrow with both direction and magnitude.

Excellent!!! Our teachers directly started with properties!!

No one gon talk about the cool animation at the end of the whirls and how clearly it was illustrated?

taught me more in 4:40s than my teacher did in 4.4 weeks!

@krkaasyap8132

6 жыл бұрын

this context and style is entirely different from your teachers' try to understand what to say rather than simply typing a youtube comment

@abdelazizmetali1938

6 жыл бұрын

whats a 4.4 weeks

@masterofalltrades_

6 жыл бұрын

Arcane Furor Then you surely have learnt more than just knowing what a vector is.

@Melecie

5 жыл бұрын

also, what did 4:22 onward teach you just wanna know

@kabirulhassan3228

5 жыл бұрын

o yeah... u r right

Vector is the sum of : The real distance travelled in space by an object in a straight line which can be expressed By an x coordinate or y coordinate of the destination point, or the sum of those two, in which the starting point is the origin of the cartesian plane which is assumed to be (0,0). The total distance travelled by that object cannot have intrinsic values because x coordinate cannot explicitly add y coordinate because their values might be different from each other. So, vector or denoted as "v" can be expressed by v=[x] [y] in two-dimensional array. Or, v=xi + yj ; Note that x value cannot be added explicitly to y value. The equation is just some sort of expression, not intrinsic addition. As for the vector magnitude, it is actually the displacement of the distance travelled by that object from origin to endpoint of the destination, in which can also be expressed as the hypotenuse of a right angle triangle with the x coordinate as the adjacent side, while y coordinate as the opposite side. As for unit vector, ^v = v/|v| This means, to get x and y coordinate of the unit vector with its magnitude as 1. I.e, the hypotenuse of coordinate x and y has the intrinsic value of 1.

@MathCuriousity

9 ай бұрын

It took me 45 min to figure out why the vectors and how the vectors could possibly be the same considering clearly going In opposite directions. Can you tell me if my epiphany was correct;? It was this: The only way these can possibly be the same vectors is from the perspective of a being that itself is moving from the origin: if a person/perspective moves up to right 3 or left 2 down 3, from their perspective they still moved the same amount relative to the “center” origin! Did I do a good epiphany!???

So concisely yet eloquently explained

YES PLEASE MAKE MORE VIDEOS LIKE THIS THIS EXPLAINED VECTORS SO WELL!!!

I wonder if Accelerator uses videos like these to keep a good understanding of his powers😂

For the rest of my life I will always know the definition of a vector solely from Despicable Me

His smooth voice.. And explanation 👏...

Wow. The due date for my research on vectors has *just* passed, and KZread has decided to recommend this treasure trove of useful and relevant information to me *now* ?

As a science student, vectors for me were just on board or notebook, but never visualised as this much extent... Thank you for opening a new dimension of thinking

I just started A certain magical index and I'm here to fully understand Accelerators power

I honestly love the animation...it's so simple

This video is such an amazing and a senseble

This brings back to me a question that I've had for quite a while. Once I was trying to code a plane which each pixel would have a vector value and these would spread out at some percent in "time" so that it would be able to simulate waves. However, before I started too do any coding, I came across a really confusing scenario. If you have two waves coming in opposite directions which consequently annihilate each other towards the middle of the plane, I would expect them to continue after colliding, but it wouldn't be the case. All the information each pixel would have as data is the direction and momentum, but as these two opposing waves collide they would essentially wipe clean all data rendering impossible for the waves to go past each other as it happens in the real world. All I can think of to overcome this issue is creating a new instance of a plane for each new circular wave generated but this wouldn't be neither efficient nor practical.

@horsecurse

5 ай бұрын

This is late but one of the way I could think of would be to transfer there momentum according to their mass and velocity in an elastic collision.

@davidflores909

5 ай бұрын

@@horsecurse dang I did not even remember I had asked this. Yeah, you're in the right direction, but I think here it'd be more convenient to track the properties of discrete points in the plane. What I was describing was basically a tensor field. A tensor can hold on information about the "elasticity" and momentum of the field. Thank you for reminding me of this though. I never coded a tensor field, and I'm now curious if I can make it through with what I now know.

Vectors are the reason Accelerator is the number one 5th level esper...!

@AcZe1188

7 жыл бұрын

and also the reason why he got beated by a level 0

@narutoroxanne22

7 жыл бұрын

Ac Ze naaaaa THAT level 0 has a special power that works against him bro ...

@AcZe1188

7 жыл бұрын

That guy is a special snowflake. He ain't give a shit about accelerator's stats

@kkamau5479

7 жыл бұрын

the only other person to almost become level 6

@el7284

4 жыл бұрын

Literally the only interesting thing about that series

I took pride by understanding these kinds of videos

This is brilliantly explained!

Matrices next pls !

@vitorentediado950

7 жыл бұрын

helll yeeeeeeah ++

@frankschneider6156

7 жыл бұрын

+TheWeirdCreeper Hey, they already gave you an array, that technically a 1-dim matrix. The rest is just trivial extrapolation

@---777---

7 жыл бұрын

+1

@guillemgarcia3630

7 жыл бұрын

+Frank Schneider huh, trivial for you! (nah jk)

@legendariersgaming

7 жыл бұрын

Look up 3Blue1Brown's "Essence of Linear Algebra"

Hi, i'm a physics student, i loved the description of vector, but i still struggle with the tensor, i know it's a matrix, but i would love to connect each term to their physical meaning, can someone point me a lesson that does that?

Video did a good job at explaining some properties of vectors. It needed to go over the direction of vector thing and how they can be broken down into single dimensional quantities.

Wow. Couldn't be better explained, thank you!

Ngl this kinda makes me wanna become the most powerful esper in academy city

@gemmi1563

3 жыл бұрын

is this a 'a certain scientific railgun' reference lol

I didn't understand vectors until 2 and a half years into engineering at university. 🤷‍♂️

I passed physics exam 1 month ago, I would have loved to see this video before, very easy to understand!

Such an amazing explanation thanks❤!

it feels so good to be able to understand this even before watching UwU

@SuperBhavanishankar

3 жыл бұрын

UwU

Ted ed : 🙏🏻🙏🏻🙏🏻 My teachers : scalar ;only magnitude Vector; magnitude+ direction

Having done game design before I must say this is well done. Would have loved to see you illustrate 3d vector math. But for now this is satisfying.

I needed this for my upcoming test thank you!

I still don’t understand how those are the same vectors.

When you realise that a whole field of physics is an index reference

@MathCuriousity

9 ай бұрын

It took me 45 min to figure out why the vectors and how the vectors could possibly be the same considering clearly going In opposite directions. Can you tell me if my epiphany was correct;? It was this: The only way these can possibly be the same vectors is from the perspective of a being that itself is moving from the origin: if a person/perspective moves up to right 3 or left 2 down 3, from their perspective they still moved the same amount relative to the “center” origin! Did I do a good epiphany!???

This is kind of thing i need People always teach topics related to scalar and vectors But they are never properly defined what exactly are they

very clear explaination....

Can we get a video on quaternions?

@aka5

7 жыл бұрын

This

@EmperorZelos

7 жыл бұрын

vectors + scalar = quaternions

@aka5

7 жыл бұрын

***** u sure m8

@EmperorZelos

7 жыл бұрын

Akașșș Yes, the concept of vectors comes from Quaternions

@aka5

7 жыл бұрын

***** Huh ok. Still doesn't really explain it, a vid would be very nice

You're a year late with this video. RIP calculus

@josephfox9221

7 жыл бұрын

isnt this algerbra?

@Thegamemakur

7 жыл бұрын

Vector calculus.

@josephfox9221

7 жыл бұрын

Warden didn't know that was a thing...

@SiddharthKarunakaran

7 жыл бұрын

I don't understand this comment. What happened 1 year back that caused calculus to die now?

@cheesecakelasagna

6 жыл бұрын

Siddharth Karunakaran his calculus grades died probably?

Hands down the best tended video ever.

dude u like ..made my day !!! got a test 2mrw on vectors and this video just helped me soo much ! ;)

I'm afraid that this explanation is as clear as mud.

Unrelated, but: Why doesn't KZread have an ×4 button?

@sanankanwar6372

4 жыл бұрын

I think thats pretty related lmao

BEST EXPLANATION SO FAR *-*-*-*-*-*

What a beautifully edited video

Yes go mathematics!!!

Anyone here for accelerator

@jerrylin7221

4 жыл бұрын

Me

@zyleb536

4 жыл бұрын

Me lmao

@chikipichi5280

4 жыл бұрын

@@zyleb536 xd

@thatoneguy4504

3 жыл бұрын

Me too

Great explanation. Thank you

Im missing this in school right now because I had to do something and it really helps me......thank you so much

I cry watching this as a mathematician

@needpit1

7 жыл бұрын

but are the tears from happiness or sadness?

@TrostCrecy

7 жыл бұрын

Why ?

@95t95t95t

7 жыл бұрын

I am with you mate... no talking about vector spaces is a shame. Treating vector like pointers...

@giannisniper96

7 жыл бұрын

every time a vector is treated like a set of coordinates, a differential geometer dies

@EmperorZelos

7 жыл бұрын

Trost Because htis is not how a mathematician views vectors, especially not an algebraist like myself

Ted-ed: Physicist, air traffic controllers, and video game developers all have one thing in common... Me: They're nerds?

thanks ted ed,this is more helpful than my online class

These Videos never Get OLD

When ted ex make a video of what your studying in school

@SuperBhavanishankar

3 жыл бұрын

❤️🙏ikr

the only thing i learned from this video is that dog in spanish is perro

this video is soo good i had problem understending tensors and i need them for simple physic game THX

Thank you. I love these light bulb moments. The language comparison was perfect.

Why is pressure not a vector quantity?

@hammad8707

7 жыл бұрын

Because pressure does not have a specific direction.

@BigDoener

7 жыл бұрын

because pressure p is defined as Force per Area -> p=F/A At least that's how we see it in physics.

@95t95t95t

7 жыл бұрын

Considering force is a vector one might thing pressure is a vector too. But the direction of the force, caused by a pressure (difference) is determined by the orientation of the area the force is acting on. The force is obviously always perpendicular to the area. Therefore F=p n A with force vector F, area A (skalar) and vector n (unit vector normal to the area)

@prabalacharya4526

5 жыл бұрын

Actually, pressure at a point on plane surface is defined as the magnitude of normal component of force acting per unit area around the point. It doesn't follow laws of vector addition i.e., parallelogram law of vector addition or triangle law of vector addition or polygon law of vector addition.In physics, when we talk about pressure , we mean magnitude of fore acting per unit area. It doesn't require extra piece of information to be known i.e., direction. Since a physical quantity pressure is expressed in terms of magnitude only, we can conclude that it's a scalar quantity.

@MathCuriousity

9 ай бұрын

It took me 45 min to figure out why the vectors and how the vectors could possibly be the same considering clearly going In opposite directions. Can you tell me if my epiphany was correct;? It was this: The only way these can possibly be the same vectors is from the perspective of a being that itself is moving from the origin: if a person/perspective moves up to right 3 or left 2 down 3, from their perspective they still moved the same amount relative to the “center” origin! Did I do a good epiphany!???

here for best boy accel

@romanobernoulli7406

Ай бұрын

Who's that?

crystal clear explanation thanks a lot

Thank u so much for explaining this so clearly

No no no you got it all wrong its a villain stopping gru

@jubayer355

3 ай бұрын

😂

0:40 das a scary hairline

Thanks!!! I was very confused by tensors and your easy explanation throw some light into it

The person taught me something not a single teacher could teach me in years (why and exactly the vectors are useful that is!)

This is grade 9 math

@daltonysme8955

7 жыл бұрын

Yeah but most people have forgotten it