For the vector field F and curve C, complete the following.
a. Determine the points (if any) on the curve C at which the vector field F is tangent to C.
b. Determine the points (if any) on the curve C at which the vector field F is normal to C.
c. Sketch C and a few representative vectors of F on C.
F=(1/2,0), where c = {(x,y): y=x² = - 4}
a. Where is F tangent to C? Select the correct choice below and fill in any answer boxes within your choice.
A. F is tangent to Cat (Type an ordered pair. Use a comma to separate answers as needed.)
B . There are no points where F is tangent to C.
C. F is tangent to C at every point on C.