vector field: F(x,y,z) = (cosxsiny -sinxcosz, sinxcosy -sinzsiny, cosycosz-sinzcosx +1). How do I find the line integral of F using the potential? (Potential was previously worked out: ϕ(x,y,z) = -sinxsiny+cosxcosz-cosysinz)

Question

abb0t · Answer

I think you start by finding the gradient vector first of f on a given range. I think.

konradzuse · Answer

What did I just read....? 


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turingtest · Answer

I'm not sure what is meant by "line integral using the potential". On what line are you integrating?

anonymous · Answer

Hm, watch this: http://www.youtube.com/watch?v=zq9Ljkz_Yng Summarily, I am trying to calculate the work done by a vector field, and this is found out by working out the line integral (apparently this is Calculus III)

abb0t · Answer

This is vector calculus.

slaaibak · Answer

since it is conservative, it would be f(r(b)) - f(r(a))

refer to fundamental theorem for line integrals

anonymous · Answer

Thanks, I've got it now. :)