Question

Find the dot product u.v and ‖u‖,‖v‖ of the vectors u= (2−i,3), v= (i,3 + 4i).

Answer 1

u.v = (2-i)i + 3(3+4i)
= 2i +1 + 9 +12i
= 10+14i

mod U = √4 -1 - 4i + 9 = √12+4i

mod v = √-1 + 9-16 +24i = √-8+24i