## Precalculus (10th Edition)

$-20i+13j.$
We know that for two vectors $k=a+bi$ and $l=c+di$, $k+l=((a+c)+(b+d)i$. Also, if $m$ is a constant $m\cdot k=m(a+bi)=ma+mbi.$ Hence here: $4v-3w=4(-2i+j)-3(4i-3j)=-8i+4j-12i+9j=-20i+13j.$