Oh my god, you are the coolest person in the WORLD. How come I've never heard of you? You really find this easy? I thik you deserve a gold medal, no wait, a platinum one! You are just so awesome. So cool! You go to youtube, you type in 'Vector' and then you comment saying 'I already know this'. How freakin' cool are you? Please comment more, the internet needs people like YOU! You are simply the best. I love you man, you truly are Amazing, Jamal.
Thanks for this. One mistake there though at 21:11. The y - x part, you actually drew the wrong vector (blue one). You went down 6 and 5 left, instead of 6 left, down 5. That's why it wasn't completely parallel to x - y. But I think most people here got the message anyway, so it doesn't matter :)
@@Adam-gp3ij Yeah, i sat there absolutely clueless, thinking wait, this doesn't make sense what so ever, but then again being fresh obviously i didn't consider h would make such a massive mistake so i was totally confused as hell...Honestly i think this warrants a remake of this video, too many mistakes to confuse freshmen.
thanks khan, you make the world a better place! you are providing real education... unlike my linear algebra professor, who speaks to my class in gibberish.
I've been looking through your videos and I haven't seen a video devoted to Vector Spaces, do you cover them within a spread of videos? Btw I think what your doing is fascinating and I can't wait for the moment when these videos are used as a teaching aid, you really are a gifted teacher.
Jason Clouse You can go to the website and find more information and the video missing here and more to help. making an account helps a lot to track. www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/real-coordinate-spaces
Wow this was tediously slow, I appreciate it but I think you could've summed it up in 10 minutes. However, I still want to give you a 1000 thank you's for what you've done!
Wait, at around 21:28 he draws the vector y-x going back 5, and going down 6. But shouldn't it be going back 6, and going down 5? Or am I missing something?
Whoa, what happened. Last time i checked I thought I was watching vids from 2008. Now this vid is dated less than 5 months old, and you've not nice cartesian planes pasted for us. nice.
Nope, you're right, just a mistake on his part. You can see that it's not exactly parallel to the first one he drew when he does it again connecting the vectors at the origin. The one he drew there was right, not the first one.
isn't the vector(a) supposed to extend -1 on the vertical axis and +2 on the horizontal axis because of y/x but in this example he seems to invert it, therefore x/y?
In higher dimensions we quickly run out of letters, for example how would you represent a point in 10 dimensions? (x,y,z,w,u,v,.. ). It becomes hard to keep track of so many letters. It's more convenient to index coordinates using a subscript for the position of the coordinate. Now a point in 10 dimension is easy to write down. (x1, x2, x3, ... x9, x10).
this specific video is extremely monotonous and goes over the same thing too slowly; speeding it up to 1.1x helped but otherwise it felt like a longer slog than most vids
Can any smart people on here answer a geometry question I have? How many points of view do you need to see the entire surface of a four dimensional sphere? A 3D sphere needs 2 pov, a 2D sphere needs 1 pov (I assume); so I'm guessing the answer is 3. I just don't know if the question means anything.
This guy's doing more good to the world than the military ever could
Oh my god, you are the coolest person in the WORLD. How come I've never heard of you? You really find this easy? I thik you deserve a gold medal, no wait, a platinum one! You are just so awesome.
So cool!
You go to youtube, you type in 'Vector' and then you comment saying 'I already know this'. How freakin' cool are you? Please comment more, the internet needs people like YOU! You are simply the best. I love you man, you truly are Amazing, Jamal.
At 04:35, you write (x1-1,x1+2) but I think you really mean (x1-1,x2+2).
Thanks for these videos!
Can you please make the video before this unprivate
lol, why do you want to unprivate it. what do you think sal has in that video
@@xoppa09 😂 I don't know why, but this is hilarious!
dude...khanacademy is the best.....wish my high school teachers were this good !!!!
Thanks for this. One mistake there though at 21:11. The y - x part, you actually drew the wrong vector (blue one). You went down 6 and 5 left, instead of 6 left, down 5. That's why it wasn't completely parallel to x - y. But I think most people here got the message anyway, so it doesn't matter :)
at around minute 21:15, shouldn't it go -6 on x axis and -5 on y axis?
Yes he made a mistake
@@Adam-gp3ij Yeah, i sat there absolutely clueless, thinking wait, this doesn't make sense what so ever, but then again being fresh obviously i didn't consider h would make such a massive mistake so i was totally confused as hell...Honestly i think this warrants a remake of this video, too many mistakes to confuse freshmen.
@@HansensUniverseT-A it's a pretty obvious mistake
@@HansensUniverseT-A teachers are humans too, c'mon
thanks khan, you make the world a better place!
you are providing real education... unlike my linear algebra professor, who speaks to my class in gibberish.
I've been looking through your videos and I haven't seen a video devoted to Vector Spaces, do you cover them within a spread of videos? Btw I think what your doing is fascinating and I can't wait for the moment when these videos are used as a teaching aid, you really are a gifted teacher.
all my respect man .. I've not made a comment yet I'm watching all your videos but now I have to appreaciate your work .. sir you are doing it right
Wow, thanks man! You rock. I love how all this stuff relates back to engineering somehow
ill be your 100th commentor saying that this stuff rox. im a big fan of explaining things the way they usually should be and thats in english! thanks
The previous video in the playlist is marked as private, so we're missing something here.
Jason Clouse You can go to the website and find more information and the video missing here and more to help. making an account helps a lot to track.
www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/real-coordinate-spaces
Wow this was tediously slow, I appreciate it but I think you could've summed it up in 10 minutes. However, I still want to give you a 1000 thank you's for what you've done!
I always didn't understand the difference between points and vectors and everything was always so vague. Everything is very clear now thanks to you.
The point is to have the topic accessible to everybody, even the slower ones.
Hey! Please make the video no. 12 ( Prior to this one ) public.
Yeah there's a mistake at 4:33 and 21:15 , but its ok , Best teachers can makes mistakes too. Thanks sal for your useful videos ❤️.
Thank you Khan Academy for explaining Vectors, Spaces and Linear algebra!
Thank you very much. I will do well on my test tomorrow :)
I heard you on NPR yesterday and I thought I would check your site out. This looks great.
Very clear explanation! Thanks
So useful!! Thank you so much for doing this!
Thank you so much ofr putting these videos out. They have helped me tremendously.
Great explanations. Thank you
Thank you, this is very good explanation of vector addition
agreeee...but i think the point was that we are (or should be) grown up enough to be able to tell ourselves what we need most next.. :@
Thank you very much sir
God bless
Thank you! Thank you so much. Very helpful. I now understand vectors!
New touch screen, nice ^^
You're the man! wow
Best video 😍❤️
Shouldn't it be (x1-1,x2+2)?
No, because columns represent the co-ordinates of one vector (in this case x_1)
@@avangevaga no i think bgpeters22 is correct
He is right
Dude you should teach!
2.grade on college Math on A and THIS vid explained it better :o!
Love it.
Hi could you make an intro to vectors and spaces video? These videos are really helpful!!
you could define 2v as v+v, because that is what it is
good explanation
I'm just doing OCR maths at June 11.
Good for you friend. Good for you :)
At 4:48 It should be (x1-1, y1+2) just so everyone knows!
Yeah I don't get why they said its supposed to be x1, x2 and why he said x1, x2 are they just skipping the x axis?
... yeah I'm that kid who never catches the teacher's mistakes...
why at 15:34 did he say x - y is equal to x + -1y? why not just do the straight subtraction? 2 - -1 etc..
Thanks a lot....01-11-2020
so good
Wait, at around 21:28 he draws the vector y-x going back 5, and going down 6. But shouldn't it be going back 6, and going down 5? Or am I missing something?
yea you're right. he made a mistake. source: math masters student
genious
Thanks for this video it helped allot. Can it be that you drew the vector y-x incorrectly, i think you switched the x and y value's ?
Jeroen Timmermans
Yes he did, he counted down the y-axis with the x-value and the reverse for the other. Small mistake, but he should get on that :P
it's x1-1,x2+2
21:15 WRONG WHY YOU SAID down -6 and left -5 shouldn't be the reverse
❤❤
Whoa, what happened. Last time i checked I thought I was watching vids from 2008. Now this vid is dated less than 5 months old, and you've not nice cartesian planes pasted for us. nice.
after make one vector line, it reflected antd those called standard positions.
Nope, you're right, just a mistake on his part. You can see that it's not exactly parallel to the first one he drew when he does it again connecting the vectors at the origin. The one he drew there was right, not the first one.
you rock
This guy is awsome .. But he goes too slow :) .. I Luv him thou
isn't the vector(a) supposed to extend -1 on the vertical axis and +2 on the horizontal axis
because of
y/x
but in this example he seems to invert it, therefore x/y?
At 25:10 you are wrong. The result is [ -8, -8, 8, 22] because you made a mistake at the multimplying between -2 * [4, -2, 0, 5 ]
he has one it think its called introduction to linear algebra
I am having a hard time locating proper points on the graph for this one. What is the best way to do that in Scaling Vectors?
can you please make the previous video public
explanation is good but pls number your videos.
I feel sorry for people who find vectors hard im doing my gcses and find this extremely easy
we are asked to find "2 major methods of vector analysis and its sub methods"
what even is that?
Done
Can someone explain to me why its (x1 , x2) and not (x,y)? Thanks
In higher dimensions we quickly run out of letters, for example how would you represent a point in 10 dimensions? (x,y,z,w,u,v,.. ). It becomes hard to keep track of so many letters.
It's more convenient to index coordinates using a subscript for the position of the coordinate. Now a point in 10 dimension is easy to write down.
(x1, x2, x3, ... x9, x10).
@@xoppa09 Shouldn't he have stated so in the video?
@TheEarlOfDublin No Kidding!!!
LOL. Nice
Im doing my gcses too. I have my Add Maths exam in 2 weeks and I dont understand as much as the VE of VECTORS! :(
when did sal khan define vectors?
very good actually
thanks
this specific video is extremely monotonous and goes over the same thing too slowly; speeding it up to 1.1x helped but otherwise it felt like a longer slog than most vids
So vectors are numbers in 2d 3d 4d....... (Depends on R)
I like say 2-tuple.
try saying that three times fast.
Can any smart people on here answer a geometry question I have?
How many points of view do you need to see the entire surface of a four dimensional sphere?
A 3D sphere needs 2 pov, a 2D sphere needs 1 pov (I assume); so I'm guessing the answer is 3.
I just don't know if the question means anything.
I'm still not getting it I am sooooooo confused..............
Hey, you should watch 3Blue1Brown videos on Linear Algebra. They helped me a lot!
This is a video for primary school students i guess
@theorator1984
Huh, okay :D Well at least now I can have some idea of it, It doesn't feel good to be ignorant of something. :S
x-y representation is wrong
''Prof'' what are you american?
He is definitely Mongolian...
i think they pay for it
omg ive been in mexico for one year and i forgot everything wow i dont even understand you anymore this is bad :( guys mexico is not good for you LOL
я из 2016
z0nG а я из 2018, рад познакомиться
not so good :/
Why?
umme habiba hi
I think I clicked the wrong video, I have no FUCKING idea what this guy is talking about.
When would you use this kind of stuff in real life?
Stop swearing!!!!!
wast of time .....this trype video is not for advanced learners'
Advance learners should not click this video
🤭🤭😜😜
Marry me!!!
What the hell