Given
##F (x, y, z) = (0, z, y)## and the surface ## \Sigma = (x,y,z)∈R^3 : x=2 y^2 z^2, 0≤y≤2, 0≤z≤1##
i have parametrised as follows
##\begin{cases}
x=2u^2v^2\\
y=u\\
z=v\\
\end{cases}##
now I find the normal vector in the following way
##\begin{vmatrix}
i & j & k \\
\frac {\partial x}...