Answer
Graph III.
Work Step by Step
We note that $\mathbf{F}$ changes based on $x$ and $y$, which resembles Graph III, where a change in $z$ does not change the magnitude or direction of the vector at that point.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.