Given the following vectors, vec$(A)=$hat$(i)-2$hat$(j)+3$hat$(k)$ and vec$(B)=5$hat$(i)+$hat$(j)-7$hat$(k),$ solve the following vector operations.

A$.$ vec$(A)*vec(B)$

$(2$ pts$)$

B$.$ Calculate the angle $$ between vec$(A)$ and vec$(B).$

C$.$ vec$(A)$vec$(B),(4$ pts$)$

$(3$ pts$)$

D$.|vec(A)$vec$(B)|,(1pt)$