Below are various vectors in cartesian, cylindrical and spherical coordinates. Express the given vectors in two other coordinate systems outside the coordinate system in which they are expressed

\(a) \overrightarrow{A}(x,y,z)=\overrightarrow{e}_{x}\)

\(d)\overrightarrow{A}(\rho, \phi, z)= \overrightarrow{e}_{\rho}\)

\(g)\overrightarrow{A}(r, \theta, \phi)=\overrightarrow{e}_{\theta}\)

\(j)\overrightarrow{A}(x,y,z)=\frac{-y\overrightarrow{e}_{x}+x\overrightarrow{e}_{y}}{x^{2}+y^{2}}\)