We can do this by subtracting the coordinates of the second point from the first point and the third point from the second point.
Let's denote the points as $P_1(0, 1, 1)$, $P_2(1, 0, 1)$, and $P_3(1, 1, 0)$.
The vectors are then:
$\vec{P_1P_2} = P_2 - P_1 =
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