Let If vec$(A)(t)=t^2$hat$(i)-5$that$(j)+2t^2$hat$(k),$vec$(B)=-$hat$(i)-4t^2$hat$(j)+0$hat$(k),$vec$(C)=2$that$(i)+t^2$hat$(j)-3$hat$(k),$ evaluare

$($a$)($a$){\displaystyle \underset{1}{\overset{3}{}}}A*Bdt$

$($b$){\displaystyle \underset{1}{\overset{3}{}}}$vec$(A)$vec$(B)dr$

$($c$){\displaystyle \underset{1}{\overset{3}{}}}$vec$(A)*vec(B)$vec$(C)dt$

Extra Credit: $($d$){\displaystyle \underset{1}{\overset{3}{}}}$vec$(A)(vec(B)$vec$(C))dt$