Write Python code that completes the following: $($Note: Angles should be in degrees and not radians$)$

$1)$ Given a vector at a given point in Cartesian Coordinates, convert that point and vector into Cylindrical Coordinates.

$2)$ Then using only the Cylindrical Coordinate point and vector, convert those both into Spherical Coordinates $($Hint: See page $53,$ problem $2\mathrm{.}15)$

Test your code doing the following.

a$)$ Using intuition, convert the vector sqrt$(2)/2*(1*$a$\_$hat$\_$x $+1*$a$\_$hat$\_$y $+0*$a$\_$hat$\_$z$)$ at the point $(2,2,0)$ to a vector in Cylindrical and Spherical Coordinates.

b$)$ At the point $(4,2,0),$ convert the vector $(3*$a$\_$hat$\_$z$)$ into Cylindrical and Spherical Coordinates.

c$)$ At the point $(0,-2,0),$ convert the vector sqrt$(2)/2*(0*$a$\_$hat$\_$x $-2*$a$\_$hat$\_$y $+2*$a$\_$hat$\_$z$)$ to Cylindrical and Spherical Coordinates.