Answer
b), c), e)
Work Step by Step
a) $6v$ and $\overrightarrow{BK}$ have the same magnitude, but not the same direction, therefore
$6v\not=\overrightarrow{BK}$.
b) $-6v$ and $\overrightarrow{BK}$ have the same magnitude and direction, therefore
$-6v=\overrightarrow{BK}$.
c) $3\overrightarrow{HI}$ has the same magnitude and direction as $\overrightarrow{BK}$, therefore
$3\overrightarrow{HI}=\overrightarrow{BK}$
d) $3\overrightarrow{IH}$ has the same magnitude as $\overrightarrow{BK}$, but not the same direction, therefore
$3\overrightarrow{IH}\not=\overrightarrow{BK}$
e) $2\overrightarrow{AO}$ has the same magnitude and direction as $\overrightarrow{BK}$, therefore
$2\overrightarrow{AO}=\overrightarrow{BK}$
So the true statements are b), c), e).