Curl 2 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy

[@wunboonail]

I run a maths coaching college and you kick my butt sail both as a teacher and understanding of maths

[@kypronite]

sal,you are the best thing on youtube :D

[@vector8310]

You could have kept this much, much simpler, yet it's a credit to your teaching skill that I was able to follow

[@Alandriin]

Great video Sal Notcied a slight mistake in the cross product. The order in the j exression is switched. It should be j ( (Fx * d/dz) - (Fz * d/dx) ) With the d/dz part first

[@iamavolk]

No mistake there. Negative sign before j-component. pay attention

[@hakuchaku27]

"i don't know" . thumbs up if you get what i meant

[@GauravSharma-mw2ft]

Great videos! I was watching one, but these are so good in explaining the intuition, I am on the 8th video. Wonderful videos! Thanks alot!

[@no1everreallydiez]

do you have any videos on Stokes' Theorem and the Divergence Theorem?

[@alrightsquinky7798]

The Rule of Sarrus helps in computing the determinant of a 3x3 matrix. Look it up, it’s handy.

[@MrStrats]

@ 4:50 I think the J-hat gets a minus before it instead of a plus. You normally subtract the J-hat in a determinate calculation like this... pattern is + - + (+) i hat (-) j hat (+) k hat and also you use Z hat but normally it is in the form I hat, J hat, K hat.

[@MrStrats]

well.. i realize now u correct it later.. nvm

[@Soccercrazyigboman]

thank U Based Sal

[@HAWXLEADER]

just the defenition of determinante... +-+-+-+-...

[@Leffelito]

Hi! BTW in 01:18 you say that the z direction zhat when it is khat. :) Good Job with everything! :)

[@inanimatepers0n]

thank you!!

[@NimW]

I never understood the connection between the definition of the curl (the limit where you take a very small line integral and divide by the surface area) and the way you calculate it (del cross...)

[@deeptochatterjee532]

Can someone explain the 3 dimensional intuition of curl relating to rotation like Sal did in the first video

[@Physicsandmaths]

As soon as you draw the straight line I'm lost. I suppose this has something to do with matrices? I'm not familiar with that subject :( . I guess I'll have to go and study that first then. You probably have some video about it :P.

[@bslaozora]

>>nj427s why impossible......determinant is possible in any possible number of dimensions....

[@shubho3003]

is curl (del operator) x v(vector) or (del operation on v vector)x v(vector)???

[@deeptochatterjee532]

The SUBS The first one

[@ECOMMUSK]

omg i get it

[@HAWXLEADER]

you ppl need to get used to it... he normally says z direction or y direction instead of k hat and j hat... thats normal... that way he covers both the ijk system and the (x,y,z) system....

[@jameyatesmauriat6116]

Not enough explanation, Krista king explains better in her video about gradient divergence and curl.

[@ooker777]

why there is a minus before j?

[@titirchatterjee1114]

Its the rule of matrix..

[@ZubairAbdullah39]

Thats the way of speech dude, relax.

[@cgames5671]

Which is sad if you don't want to know how the universe works. hahahaha

[@memduherarkadas7771]

Türkçe altyazılar gerçekten sıkıntılı. Sadece bu videoda değil çoğunda sıkıntı var.

[@lg362]

why on earth did you do such a complicated messy first example.

[@GauravSharma-mw2ft]

In the real world, functions are complicated and having an intuition helps solve them. Maybe that's why.

[@treeandplant]

It's disgusting to hear the statement "I don't know" in every damn video of yours.If you do not know then how are you able to teach us?Please stop using that statement.

[@kendallcarter3491]

No need to be rude he is providing us free education videos.

[@harrybudgeiv349]

This is the most useless comment on KZbin I have ever seen