Question

Find a formula F =〈 F1(x,y), F2(x,y) 〉F→=〈 F1(x,y), F2(x,y) 〉 for the vector field in the plane that has the properties that F (0,0)=〈0,0〉F→(0,0)=〈0,0〉 and that at any other point (a,b)≠(0,0)(a,b)≠(0,0) the vector field F→ is tangent to the circle x^2+y^2=a^2+b^2 and points in the counterclockwise direction with magnitude ‖F (a,b)‖=5sqrt(a^2+b^2).