$$ \vec{F} = -k(x-y)^2\hat{x} + k(x-y)^2\hat{y} + Kz\hat{z}$$
- Find the potential of $\vec{F}$.
- A particle moves in straight lines from $(0,0,0)$ to$(D,D,0)$ then to $(D,D,D)$. Calculate the work done by $\vec{F}$ using the line integral.
In order to find the potential energy I used the method outlined in this video, Vector Field Potential, however that method is for Vector Fields and I need to find the potential energy of a conservative force. It appears to only be the difference of a minus sign after you have calcualted the entire thing, is that correct?
I am completely unsure of the line integral in this case, and could use a general background of 3D line integrals.