Find a formula f⃗ =⟨ f1(x, y), f2(x, y) ⟩ for the vector field in the plane that has the properties that f⃗ (0,0)=⟨0,0⟩ and that at any other point (a, b)≠(0,0) the vector field f⃗ is tangent to the circle x2+y2=a2+b2 and points in the clockwise direction with magnitude ∥f⃗ (a, b)∥=2a2+b2√.