Answer
a) $3\overrightarrow{u}+3\overrightarrow{v}$
b) $\overrightarrow{u}+2\overrightarrow{v}$
c) $2\overrightarrow{u}+5\overrightarrow{v}$
d) $-2\overrightarrow{u}+3\overrightarrow{v}$
e) $3\overrightarrow{u}+2\overrightarrow{v}$
f) $-3\overrightarrow{u}-2\overrightarrow{v}$
g) $-2\overrightarrow{u}-4\overrightarrow{v}$
h) $\overrightarrow{u}-4\overrightarrow{v}$
i) $-\overrightarrow{u}-6\overrightarrow{v}$
Work Step by Step
For the first two sums we draw graphs.
a) $\overrightarrow{OE}=3\overrightarrow{u}+3\overrightarrow{v}$
b) $\overrightarrow{OB}=\overrightarrow{u}+2\overrightarrow{v}$
c) $\overrightarrow{OF}=2\overrightarrow{u}+5\overrightarrow{v}$
d) $\overrightarrow{OG}=-2\overrightarrow{u}+3\overrightarrow{v}$
e) $\overrightarrow{OC}=3\overrightarrow{u}+2\overrightarrow{v}$
f) $\overrightarrow{OI}=-3\overrightarrow{u}-2\overrightarrow{v}$
g) $\overrightarrow{OJ}=-2\overrightarrow{u}-4\overrightarrow{v}$
h) $\overrightarrow{OK}=\overrightarrow{u}-4\overrightarrow{v}$
i) $\overrightarrow{OL}=-\overrightarrow{u}-6\overrightarrow{v}$