how can we define A cross B & A.B

AxB isthecross productorvector product is abinary operationon twovectorsin three-dimensionalspace and is denoted by the symbol ×. Given two linearly independent vectorsaandb, the cross product,a×b, is a vector that isperpendicularto both and thereforenormalto the plane containing them.
The dot product of two vectorsA= [A1,A2, ...,An]andB= [B1,B2, ...,Bn]is defined as
A.B