a$)$ Let $=1,2,3$ and $=1,2,3$ be two, three$-$dimensional vectors. Explain how

to compute the magnitude of $,$ the dot product of $$ and $,$ and the cross product of $$

and $.$

b$)$ Explain how to convert a point from cylindrical coordinates to Cartesian coordinates

by stating the coordinate transfer equations $($i$.$e$.,=...,=...",$ and $=...)$ and any

other equations$/$relationships among the variables that can be helpful for each

transformation. Then, do the same for spherical coordinates.