Chapter 14, Problem 7RE

Normal component Let C be the circle of radius 2 centered at the origin with counterclockwise orientation.

a.    Give the unit outward normal vector at any point (x, y) on C.

b.    Find the normal component of the vector field F = 2 〈y, – x〉 at any point on C.

c.    Find the normal component of the vector field $F=\frac{\langle x,y\rangle }{x^2+y^2}$at any point on C.