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$\begingroup$Using your code, I get the correct plot. Which version of Mathematica are you using? You can find out by evaluating $Version. Also, can you please try with a fresh kernel? That is: Use Quit[], and then try to plot the field again.$\endgroup$
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$Version
. Also, can you please try with a fresh kernel? That is: UseQuit[]
, and then try to plot the field again. $\endgroup$VectorPlot[{y, -x}, {x, -3, 3}, {y, -3, 3}]
? Do they work? $\endgroup$