Answer
a) $\overrightarrow{BF}=\overrightarrow{u}+3\overrightarrow{v}$
b) $\overrightarrow{DE}=\overrightarrow{u}+3\overrightarrow{v}$
c) $\overrightarrow{AF}=2\overrightarrow{u}+2\overrightarrow{v}$
d) $\overrightarrow{AD}=2\overrightarrow{u}-3\overrightarrow{v}$
e) $\overrightarrow{CD}=-\overrightarrow{u}-2\overrightarrow{v}$
f) $\overrightarrow{JD}=4\overrightarrow{u}+4\overrightarrow{v}$
g) $\overrightarrow{JI}=-\overrightarrow{u}+2\overrightarrow{v}$
h) $\overrightarrow{DB}=-\overrightarrow{u}+2\overrightarrow{v}$
i) $\overrightarrow{IL}=2\overrightarrow{u}-4\overrightarrow{v}$
Work Step by Step
For the first sum we draw a picture.
a) $\overrightarrow{BF}=\overrightarrow{u}+3\overrightarrow{v}$
b) $\overrightarrow{DE}=\overrightarrow{u}+3\overrightarrow{v}$
c) $\overrightarrow{AF}=2\overrightarrow{u}+2\overrightarrow{v}$
d) $\overrightarrow{AD}=2\overrightarrow{u}-3\overrightarrow{v}$
e) $\overrightarrow{CD}=-\overrightarrow{u}-2\overrightarrow{v}$
f) $\overrightarrow{JD}=4\overrightarrow{u}+4\overrightarrow{v}$
g) $\overrightarrow
{JI}=-\overrightarrow{u}+2\overrightarrow{v}$
h) $\overrightarrow{DB}=-\overrightarrow{u}+2\overrightarrow{v}$
i) $\overrightarrow{IL}=2\overrightarrow{u}-4\overrightarrow{v}$
