Current Attempt in Progress

Here are three vectors in meters:

vec$(d{)}_1=-3\mathrm{.}00$hat$(i)+2\mathrm{.}40$hat$(j)+6\mathrm{.}30$hat$(k)$

vec$(d{)}_2=-2\mathrm{.}00$hat$(i)-4\mathrm{.}00$hat$(j)+2\mathrm{.}00$hat$(k)$

vec$(d{)}_3=2\mathrm{.}00$hat$(i)+3\mathrm{.}00$hat$(j)+1\mathrm{.}00$hat$(k)$

What results from $($a$)$ vec$(d{)}_1*(vec(d{)}_2+$vec$(d{)}_3),($b$)$ vec$(d{)}_1*(vec(d{)}_2$vec$(d{)}_3),$ and vec$(d{)}_1(vec(d{)}_2+$vec$(d{)}_3)(($c$),($d$)$ and $($e$)$ for hat$(i),$hat$(j)$ and hat$(k)$ components respectively$)?$