Vector field line integrals dependent on path direction | Multivariable Calculus | Khan Academy

Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent

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[gamefaq]

@1:46 you wrote the "i" unit vector instead of the "j" unit vector. you wrote the "j" unit vector for the ones after that though so no worries.

[DJBrokenHigh]

Thanks. This helped me for my Differential Equation class

[jamirpatel]

Thanks sir, this helped me lot for understanding the concept

[Rajbhandari]

Like you have shown the line integral is the area between the line and the function of the line in the figure. What does the figure of line integral of vector fields look like?

[Opfor-NYC]

you sir.. have talent and you saved my behind... :D

[silveryjk]

what did you use to make this video? Is it a certain program?

[Silhouette]

01:47
Dawg, ya got two i components!

[youyami]

Thanks a lot for the video. Can you upload what you write?

[gregorybuckareff]

You repeated 'i' as the unit vector for the y component of vector function r

[JensenPlaysMC]

or int from a to b = - int from b to a

[niroshas]

how come work done ( c)=- work b done (-c). Because if the path traverse​d is opposite to other how come maginidute of both remains same

[TheJunkieBox]

"incidentally small doctor going in the direction of our movement"

[silveryjk]

what did you use to make this video? Is it a certain program?