Answer
$\overrightarrow{PQ}=\overrightarrow{RS}$,
$\overrightarrow{TU}\not=\overrightarrow{PQ}$,
$\overrightarrow{TU}\not=\overrightarrow{RS}$
Work Step by Step
We are given the points:
P(−3,−1)
Q(−1,2)
R(1,2)
S(3,5)
T(4,2)
U(6,4)
Determine $\overrightarrow{PQ},\overrightarrow{RS},\overrightarrow{TU}$:
$\overrightarrow{PQ}(-1-(-3),2-(-1))=(2,3)$
$\overrightarrow{RS}(3-1,5-2)=(2,3)$
$\overrightarrow{TU}(6-4,4-2)=(2,2)$
This means that $\overrightarrow{PQ}=\overrightarrow{RS}$, but $\overrightarrow{TU}\not=\overrightarrow{PQ}$, $\overrightarrow{TU}\not=\overrightarrow{RS}$
