Calculate vec$(F)+$vec$(G),$vec$(F)-$vec$(G),||vec(F)||,||vec(G)||,2$vec$(F),$ and $3$vec$(G)$ for the following:

a$.$ vec$(F)=i+j+k,$vec$(G)=2i-2j+2k$

Compute vec$(F)*vec(G)$ as well as the angle, $,$ between the two vectors for the following:

a$.$ vec$(F)=8i-3j+3k,$vec$(G)=-8i-3j+k$

b$.$ vec$(F)=i-3k,$vec$(G)=2j+6k$