# Given vectors u=<4,1> & v=<1,3>, how would I determine the quantity 3u*-2v?

$< 10 , - 9 >$
By $u \ast$I assume we mean $\overline{u}$, ie the complex conjugate of the vector u.
In this case, 3 baru-2v=3(4;-1)-2(1;3)
=(12;-3)-(2;6)=(10;-9)