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.

F = < 6x, 6y >, where C = { (x, y): x^2 + y^2 = 64 }

Where is F tangent to C?

Where is F normal to C?

Sketch C on a graph and a few representative vectors of F.