find the line integral of F. dr where C is the perimeter of a rectangle formed by connected (0,2,0) ,(0,0,2), (2,0,2) and (2,2,0) where F is the vector field F = (z^2, x^2, y^2)?
in order to use stokes theorem, i tried to find the normal vector by using 2 equations on the plane and i got N= (0,4,4). then the unit normal will be n=1/
however if i form the equation of the plane, i get z= 2-y and hence the normal will be (0,1,1) instead.
may i know what is the normal vector that i have to use for stokes theorem?