Answer
Vector field for $F(x,y)=\frac{yi+xj}{\sqrt {x^2+y^2}}$is depicted below:

Work Step by Step
Vector field for $F(x,y)=\frac{yi+xj}{\sqrt {x^2+y^2}}$is depicted below:

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.