The addition (or subtraction) of two or more vectors is greatly simplified
if the vectors are expressed in terms of their Cartesian components. For
example, if A = Axi + Ay j + Azk and B = Bxi + By j + Bzk , Fig. 2–29 ,
then the resultant vector, R , has components which are the scalar sums of
the i , j , k components of A and B , i.e.,