Determine the points (if any) on the curve C at which the vector field F is tangent to C and normal to C. Sketch C and a few representative vectors of F.

1. F = (x, y) , where C = { (x, y): x ² + y ² 4 }

2. F = (y, - x) , where C = { (x, y): x ² + yc = 1}