Question 179946
I think you're looking for the dot product (inner product) of u and v.
The software doesn't like the brackets so they don't appear. 
I've changed to parentheses. 
(u,v)={{{u[1]*v[1]+u[2]*v[2]+u[3]*v[3]}}}
(u,v)={{{3*0+(2+i)(3-i)+(-i)(2)}}}
(u,v)={{{6-2i+3i-i^2-2i}}}
(u,v)={{{6+(-2i+3i-2i)-i^2}}}
Remember that {{{i^2=-1}}}
(u,v)={{{6+(-i)-(-1)}}}
(u,v)={{{7-i}}}