I am so crying because my university class teaches vectors without matrices from the first go. Matricies are now part of the subject, but I can't handle this cartesian "remember all the values of all the coordinates" when they look like a=(x,y) or (a1, a2) or (ax, ay) etc (and it only gets worse in 3 dimensions). We only touch on matrices in cross product and using unit vectors. MATRICES ARE SO MUCH MORE CONVENIENT AND EASY TO MANIPULATE ON PAPER, yet they continue to give us annoying component based addition and subtraction like it's easier to actually keep all the values in our head and in such an unorganized manner on paper.
Quando o instrutor fala "membros do R^2", nas legendas em português está escrito "membros do segundo quadrante." Cuidado! When the instructor says "members of R^2", in the Portuguese subtitles it's written "members of the second quadrant." Beware!
As legendas em português até mesmo dizem que os vetores *a* e *b* "estão localizados no segundo quadrante", quando tudo que o instrutor está dizendo é que ambos são pertencentes a R^2, isto é, encontram-se no espaço bidimensional. The Portuguese subtitles go as far as to say the *a* and *b* vectors "are located in the second quadrant", when all he's saying is that they're both members of R^2, i.e., the vectors are in 2D space.
It is the same vector, but just plotted in a different spot. It is like if you graphed x^2 at (2, 4) instead of (0,0). You would be graphing x^2, but at (2, 4)
it would be far better if he wouldn't keep changing between colours...i know that the colours give a clear dishtinguishing detail....but it would be way smoother if he did not....no disrespect though....i love his teaching methodology
Thank you so f***ing much, no one answers my curiosity but your videos.
💯💯💯
exactly!!
even though I live in remote area I always have khan academy.... thank you sir. god bless you and your team
My dear friend
Your spell 'living' leaving
It is just to correct you and not to make fun of you
@@darkslayer5790 oh yes sorry 👍🏻 live
@@darkslayer5790 You*
how do u make these so easy? u r really a great TEACHER.
Mind Blowing Tutorial !! (I'm a Law Graduate, but suddenly got reinforced my interest in math by this video)
You can do so much with math. It really is powerful.
Thank you for the clear explanation ^^
I'm so hungry
SebastianChem97 eat ur brain
Me too
For what food or knowledge
Me too
Me too
beautiful, amazing explanation
i love your lecture
Thank you! You’re the best!
LOVE THE WAY HE ENDED IT.
Thanks for the video! It helped me out!
Excellent explanation. Thank you so much for this.
@4:20 omg mind blown 😂😂
Well that helped a lot!!!! 😊😊
Tanx man you really helped me :)
I am so crying because my university class teaches vectors without matrices from the first go. Matricies are now part of the subject, but I can't handle this cartesian "remember all the values of all the coordinates" when they look like a=(x,y) or (a1, a2) or (ax, ay) etc (and it only gets worse in 3 dimensions). We only touch on matrices in cross product and using unit vectors. MATRICES ARE SO MUCH MORE CONVENIENT AND EASY TO MANIPULATE ON PAPER, yet they continue to give us annoying component based addition and subtraction like it's easier to actually keep all the values in our head and in such an unorganized manner on paper.
Same in my University
Dope!!!! Thank you
Merci :)
Quando o instrutor fala "membros do R^2", nas legendas em português está escrito "membros do segundo quadrante." Cuidado!
When the instructor says "members of R^2", in the Portuguese subtitles it's written "members of the second quadrant." Beware!
As legendas em português até mesmo dizem que os vetores *a* e *b* "estão localizados no segundo quadrante", quando tudo que o instrutor está dizendo é que ambos são pertencentes a R^2, isto é, encontram-se no espaço bidimensional.
The Portuguese subtitles go as far as to say the *a* and *b* vectors "are located in the second quadrant", when all he's saying is that they're both members of R^2, i.e., the vectors are in 2D space.
You are superb!!!!
Thanks so much
Great explanation Sir!
Very interesting
Thank you so much .......... Thank you
oh lord! ( if u do exist ) plz bless his soul lol
he does
ohh yesss totallllyyy
HA!
my intuitions say that he would be pretty good at an fps. lol XD
Nice job. What program are you using to do these graphics?
ArtRage
hmm, intresting
Final in an hour
How r u adding them when them when they are going in different directions
visualize vector a as the hypotenuse of a triangle and the Pythagoras theorem rule
But the third side of the triangle can't be equal to the sum of the other two sides...??
please give me answer"a vector of magnitude 20 is added to a vector of magnitude 25. the magnitude of their sum might be?
tofail ahmad 3
how is vector A the same when it has been plotted differently
it has the same magnitude/size and direction regardless of where you plot it
It is the same vector, but just plotted in a different spot. It is like if you graphed x^2 at (2, 4) instead of (0,0). You would be graphing x^2, but at (2, 4)
can i find this course translated in the arabic ??
please tell me
I have doubt that any rule in mathematics to start a vector from the origin?
What programm is he using??
ArtRage
it would be far better if he wouldn't keep changing between colours...i know that the colours give a clear dishtinguishing detail....but it would be way smoother if he did not....no disrespect though....i love his teaching methodology
my prof can't teach so i'm here
purple vector???
Hello
*a* + *b* = *c*
a^2+b^2=c^2
sound familiar?
все векторы одинаковы если у них одинаковое направление и длина.
nice userpic
wut.
да
thank god for this