Visualizing vectors in 2 dimensions | Two-dimensional motion | Physics

Visualizing vectors in 2 dimensions | Two-dimensional motion | Physics | Khan Academy

Рет қаралды 814,039

13 жыл бұрын

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Visualizing, adding and breaking down vectors in 2 dimensions. Created by Sal Khan.
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Пікірлер: 97

@Peter_1986 11 жыл бұрын

I love how Khan always gives you those "aha!" moments. ^_^

@johannaandres6207 2 жыл бұрын

Watching this 10 yrs later :)

@IBeExtraCool 11 жыл бұрын

That 36.899 was messin with my ocd man. I felt like taking a Sharpie and writing on my screen that it's 36.8699 lol

@tophatsheep3747 4 жыл бұрын

Hello mr Khan, you’re vídeos are amazing and incredibly helpful, the only bad thing I read the Spanish subtitles and at points in the video they stop showing. These videos are too good for me not to tell you this and would be cool from you to find the problem. That doesn’t take away that you’ve helped me and I appreciate it. Gracias 😁

@pinkrink 11 жыл бұрын

Think as vector quantities. He is moving up at a certain velocity (3m/s) and right at a certain velocity (4m/s). The distance is not 3+4, but the velocity is 3+4 because of the direction. Together, he is moving in the direction of ||a|| at 5m/s. It's hard to explain in text, but try to get your head around that :)

@dominicochoa9925 9 ай бұрын

Because 3^2+4^2=5^2 9+16=25. Pythagorean theorem. Hopefully this helps someone a bit

@suprajhegde1405 7 жыл бұрын

really helpful.but notice that angle made by the triangle is 36.8699.but in further calculations it is written as 36.899

@sairuchir542 7 жыл бұрын

yea your right

@jimmynguyen9562 7 жыл бұрын

yea i noticed the same thing

@sairuchir542 7 жыл бұрын

Same, but its alright humans are not perfect. By making mistakes they learn, so same with this thing.

@yotamdubiner2545 Жыл бұрын

omg bro thats crazy

@yotamdubiner2545 Жыл бұрын

@@sairuchir542 no

@namanrajsingh6139 6 жыл бұрын

I wish, you would have been my teacher, Sal... Telling this thing from the soul of my heart...

@mylove8951 5 жыл бұрын

Excellent Math travel! give me knowledge, and just like a poetry makes me happy and feel good. I need this and I love this course, thanks for my teacher.

@FranklinaFlick 9 жыл бұрын

Oh my gods, THANK YOU!!!! What a lifesaver of a video!!!!

@robertjohn2220 9 жыл бұрын

Wow, the graphics have come along way, great work In the diagram he uses 36.8699 and in the calculations it changes to 36.899

@theunahime7446 9 жыл бұрын

It happens sometimes when we are doing things in a flow. It's simply just that 3,4,5 are Pythagorean triplets, sal has basically put in the exact degree angle necessary to make the sine and cosine ratios come around to give ||a|| sin © = 3 units for perpendicular and ||a|| cos © = 4 units for the base and the specific angle is © = 36.8699°. We all get careless. My dad used to purposely write a minor step wrong to check my attentiveness and correct me afterwards after comparing the solution with the book provided back answers and then make me get it corrected. Anybody with a scientific calculator or Google search can find the inverse of © = sin'(3/5) so it's not that big a deal, we got the concept rest is just knitpicking, which we should avoid. He's doing humanity a service, we should give him a break. But the visual software seems a whole lot more attractive by his way of using it. Thanks khan academy for the nice differential section.

@adityathadani7066 3 жыл бұрын

I wish time travel was possible

@adityathadani7066 3 жыл бұрын

Guys, Guess what!!!

@myleswebb1188 7 жыл бұрын

Game changer! Ty

@hanashah1 7 жыл бұрын

You are very good at explaining things..Thank you very much,you're a lifesaver 😁

@ScorpiaX 13 жыл бұрын

What I did in a 75 minute class could be summarized in Khan's 8 minute lessons. Thank you for helping people like me to understand better ^^ or at least an essential integral lesson without taking too much time

@RidleyE 12 жыл бұрын

you are a fantastic human being.

@irisakame 12 жыл бұрын

you saved my life!

@TheExcalibur356 11 жыл бұрын

What did u use to make this??

@antacidd3981 Жыл бұрын

I love u so much Mr. Khan, I use khan academy to study physics everyday in summer, thank u !

@brendanmilton5025 9 жыл бұрын

Hi, great tutorial! where can I get the calculator from?

@muhammedshibin7008 3 жыл бұрын

Very helpful 👍

@youtubesam7591 7 жыл бұрын

So clear to eyes.

@GuruprakashAcademy 8 жыл бұрын

Excellent. Very informative and to the point.

@Hino_55 4 жыл бұрын

Very clear explanation Sir Sal! Thankyou!!

@tibg95 12 жыл бұрын

sine and cosine laws.

@winterstellar 13 жыл бұрын

This is my favourite hobby! To visualize vectors in two dimensions! Or even three!: )

@shayareedas8808 10 жыл бұрын

thnx.a must watch for every student.

@imanonce8105 5 жыл бұрын

Thank you

@ahmedkhalid1167 5 жыл бұрын

What is name the program that you use to make this video

@user-noursameh 5 жыл бұрын

A real life saver..thank you a lot!!!

@louisrodriguez2739 8 жыл бұрын

I think im color blind ! :P

@williamrobinson5859 4 жыл бұрын

Thx bud

@zel_ni_kai_at_ken 10 жыл бұрын

thank you so much :D

@spacedoutmars 2 жыл бұрын

I’m a noob, how came vector a and b don’t equal c? Or does it?

@ibakedthecake 12 жыл бұрын

pythag is for right triangles only

@zkmalik 12 жыл бұрын

awesome explanation..

@milan1397 Жыл бұрын

i love how its explained like we're in kindergarten

@damienwayne3755 6 жыл бұрын

I LOVE YOU!!! I finally get it!

@JustAnotherYoutubChn 12 жыл бұрын

@Phr3shBeatz dude it'll always make a right angle triangle

@glug307 10 ай бұрын

God loves you guys!

@maycontainnuts3127 Жыл бұрын

i cant believe how poorly i was taught all this at school

@sudarshanchauhan5900 11 жыл бұрын

Too gud I loved it

@ThePakhiLife 3 жыл бұрын

3:39 Pythagorean’s theory

@Phr3shBeatz 12 жыл бұрын

what do you do if its not a right angle triangle?

@ForgottenBathory7 8 жыл бұрын

Can sin and cos formulas be applied in every problem involving two vectors?

@abdullahelnaggar7362 7 жыл бұрын

yeah :)

@ForgottenBathory7 7 жыл бұрын

Thanks.:)

@karishnaryan9926 10 жыл бұрын

*thanks alot*

@TU-qc5xr 3 жыл бұрын

sal i could listen to your voice forever lol

@plodazed61 9 жыл бұрын

How can you solve this without a calculator, say on the CSET Math Subset 1?

@midoriyanoutanch.8874 3 жыл бұрын

did you get the answer? I also have the same question please lemme know the answer too if you already know!

@Hyyacinth 2 жыл бұрын

@@midoriyanoutanch.8874 its been 7 years i dont think he will answer haha

@dr0wndd 12 жыл бұрын

difficulty rises. I am in high level Physics now, just before University and all of the exams have only used right angled triangles.

@sanjayshukla8666 5 жыл бұрын

Best vdo ever

@rymichael7203 7 жыл бұрын

if vector X = Xy+Xx then how the hell does 5=4+3. this is what I don't understand about vectors. how is the resultant equal to the sum when pyth teaches us that c=the square root of a^2+b^2. I can not reconcile the two together. this should be the first thing explained so there is understanding.

@noahgorman681 7 жыл бұрын

For adding vectors, the components are not mathematically added to equal the resultant. It's merely conceptual.

@2013dvan 11 жыл бұрын

plus all the time in linear algebra

@wendycorbett70 6 жыл бұрын

Sal, you make things less complicated

@eshanimhatre 7 жыл бұрын

why does his voice sound like he has a cold ?? i like the video BTW

@vijaynauhbar9424 6 жыл бұрын

pls help me

@vijaynauhbar9424 6 жыл бұрын

a train moving with acceleration of 5 m/s^2 have 1 engine of mass 100 kg and 4 coaches of mass 50 kg each find the force exerted by 3rd coach on 4th

@islulison 11 жыл бұрын

Thanks but you should help us with giving examples of word problems. This still helped alot though thank you very much.

@MrShinobiguy 12 жыл бұрын

it's cool since, the main purpose was to get it as close as possible to the whole number

@Phr3shBeatz 12 жыл бұрын

ahh kk. but do you know?

@barryhughes9764 7 жыл бұрын

Find the explanation of vectors confusing ! If any two vectors in R2 can be added anywhere in the plane then depending on their initial positions they can end up anywhere in the plane, is their final position in the plane irrelevant? If so why? Also I hear vectors described as being parallel and in the same direction......how can this be so? If two vectors are parallel then they cannot be in the same direction......they can have the " same orientation " but not the same direction. Example, if one vector points due North and another vector is parallel to this but offset say 500 miles then it is not in the same direction as the first. I only wish that definitions and illustrations of vectors was more rigorously approached and explained.

@bftb1000 7 жыл бұрын

Barry Hughes - It's a weird concept at first, but that's the case-- "direction" is referring only to the direction that the arrow end of the vector is pointing in, and it doesn't take into account its position in the coordinate plane. The direction of the vector is quantified with an angle (the angle the vector makes in relation to the positive x-axis). You can literally put the vectors anywhere on the plane and not change the vector itself, but it's handy to have them touching so you can see how they relate visually and use trig functions to find the component (horizontal and vertical) parts of the vector. So, vectors are a length (magnitude) and a direction (angle). Hope that helps!

@barryhughes9764 7 жыл бұрын

I appreciate the time you have taken to reply to my query. However it doesn't address the points I was making. I'm aware of the dot product , cross product, bi vectors etc. As I have said , and this is the pertinent point, vectors cannot be both parallel and in point in the same direction......they can however have the same "orientation".....so why leave the idea of " direction " open for interpretation? Also, one cannot say that the addition of say, two vectors in R2 or three vectors in R3 is independent of it's position. Surely the " force" or say the " acceleration" at one point would have a different effect on a system depending on " where " or it acts in the space of either of the above dimensions,........and these are the concepts I don't see being explained, specifically. Please, I intend no offence in this reply and am grateful for any clarification.

@edsknife 6 жыл бұрын

All of the problems that we've been dealing with have stemmed from the fallibility of humanity.

@frutfly 3 жыл бұрын

you'e right my man

@IndranujChatterjee-is-a-ninja 9 жыл бұрын

does he write all that with his mouse? i dont get how he does this

@worldsbiggestholdthegirlfan 8 жыл бұрын

+TheBinary There are tablets the connect to computers which have a stylus where people can write on those tablets and it can be transferred to notes. This is what my college professors use.

@AeroeGraphix 7 жыл бұрын

To add on he's probably in photoshop or something like it, and he just cut out the excess part of the screen so all we see is what he draws.

@gerimujo3650 4 жыл бұрын

thanks khan academy

@xoverlorderx 12 жыл бұрын

virtual scientific calculator...wow @.@

@mayko2468 6 жыл бұрын

David Tran yeah it used to be fascinating 6 yrs ago lol

@TheBhje 11 жыл бұрын

hahahahahha noticed the mistake

@Ethan.J.C 11 жыл бұрын

yea no one is perfect

@johnsmapreacher6525 2 жыл бұрын

Despite all the KZfaq videos I've watched so far I still don't understand what a vector is. Eventhough I know how to deal with the math prob, I still can't picture a vector in real life. The knowledge my guy is taking too long to get here...