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-x^(2)=3}

\ 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

C

at\ (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

.

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=21,0,whereC={(x,y):yx2=3} 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 C at (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