he didn't.... he was given a scalar function and a vector field. In this video we just proved that the vector field is a conservative vector field. I.e. The vector field is the gradient of a potential scalar function f.
1) Integrate the x component of your vector field with respect to x and the y component with respect to y 2) Combine the 2 integrals 3) Then you cancel out one of any repeated terms [eg. if you have (2xy + 2xy) then cancel one of them out leaving you with just 2xy]. 4) That will be your function.
It was an example, but to find it take an integral of the `i` component over x, then `j` component over y of F and you will see they are the same and equal to f
Is the following statement valid? "If the closed line integral of a vector F times vector dR is equal to zero, the vector F is a Conservative Vector Field".
Anyone else pulling an all nighter for calc
yup....I have my final tomorrow lolll didn't pay attention all summer, but I believe there is a God. lol
that's me right now
sorry!
i finally have some down time, so i am trying to get a few more multivariable vids out there
The maths departments of universities world wide should be paying you the money we pay them :P
Eden Maynard correct 👍
You have gotten me through my first year of maths for physics at uni
Didnt even start the video and the like button has already been clicked. Thanks doc
how do you find the scalar function little f ?
Thank you so much for these videos, these are so helpful!
How did you convert the vector field into a scalar function? 1:10
dude, your a life saver. thanx for da vids.
blessings from england
how did you find the scalar function!! I am so confused now
he didn't....
he was given a scalar function and a vector field.
In this video we just proved that the vector field is a conservative vector field.
I.e. The vector field is the gradient of a potential scalar function f.
1) Integrate the x component of your vector field with respect to x and the y component with respect to y
2) Combine the 2 integrals
3) Then you cancel out one of any repeated terms [eg. if you have (2xy + 2xy) then cancel one of them out leaving you with just 2xy].
4) That will be your function.
4 years later and you saved me sm time bro❤️❤️
You should do Diff eq!!!
How did you come up with f?
It was an example, but to find it take an integral of the `i` component over x, then `j` component over y of F and you will see they are the same and equal to f
whoops, 7 years ago
@@shilangyu hhahahahahha
how do you find or determine the f ??
This guy is a fricking hero!
Is there any easy way to find if a vector is conservative in higher dimensions like R4 and R5?
Is the following statement valid?
"If the closed line integral of a vector F times vector dR is equal to zero, the vector F is a Conservative Vector Field".
yes
Where are the links mentioned on the video?
it was a youtube feature to leave links on the video it self, it is no longer possible
WoW you're amazing!
Thanks! They didn't teach this in class smh
where is 3. video :D
where is üçüncü video diye okumaktan alamıyorum kendimi lanet olsun djfgldshg
@@muratkaban18 kaderde burda da karşılaşmak varmış
@@mehmetburakkaya7102 ben bu yorumu ne zaman yapmışım la :D
@@muratkaban18 KSGHLKDHGLKASHFGKŞASHFGHKKDLG
what is the meaning of a vector field is conservative?" A vector is conservative " how it look like
Love from Pakistan❤❤
You are champ🔥
now i have a great problem with the word conservation.
*sigh
Too bad this was released after my uber hard final.
You should/have replace(d) my professor.
my teacher disliked this :D