Given three vectors a~=Ài~À4j~+2k~ , b~=3i~+2j~À2k~ , c~=2i~À3j~+k~ , calculate a~Á(b~c~)

What kind if a vector product is

a~Á(b~c~) . What about Ài~À4j~ ?

Your notation is too cumbersome to understand.