# Match the vector field F with the correct plot.F(x,\ y)=(x,\ -y)

Match the vector field F with the correct plot.
$$\displaystyle{F}{\left({x},\ {y}\right)}={\left({x},\ -{y}\right)}$$

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Step 1

$\begin{array}{|c|c|}\hline (x,\ y) & f=(x,\ -y) \\ \hline (1,\ 0) & (1,\ 0) \\ \hline (0,\ 1) & (0,\ -1) \\ \hline (-1,\ 0) & (-1,\ 0) \\ \hline (0,\ -1) & (0,\ 1) \\ \hline (2,\ 0) & (2,\ 0) \\ \hline (0,\ 2) & (0,\ -2) \\ \hline \end{array}$
Cleasy all points form first quadrant to all points of forte quadrant and vice versa.
Similars all point of d Second quadrant to all point of third quadrant vice verse.
Hence
third picture (That u lovert and left picture of the sween).