P$\mathrm{.}1)$ A vector field is given in cylindrical coordinates by $E=$rrcos$+rsin+2z^2.$ Point $p=(2,,3)$ is located on the surface of the cylinder described by $r=2.$ At point $P,$ find:

$($a$)$ The vector component of E perpendicular to the cylinder.

$($b$)$ The vector component of E tangential to the cylinder.