For two vectors vec$(A)=3$hat$(i)-2$hat$(j)+$hat$(k)$ and vector vec$(B)=$hat$(i)-$hat$(j)+3$hat$(k),$

$($a$)$ What is the dot product of vec$(A)$ and vec$(B)$

$($b$)$ What is the angle between vec$(A)$ and vec$(B)$

$($c$)$ What is the cross product of vec$(A)$ and vec$(B)$