Answer
A direction vector for the line is: $\langle 2, 3, -1 \rangle$
Work Step by Step
$P_1 = (0,0,0)$
$P_2 = (2,3,-1)$
We can find a direction vector through the two points:
$\langle x_2-x_1, y_2-y_1, z_2-z_1\rangle$
$= \langle 2-0, 3-0, -1-0 \rangle$
$= \langle 2, 3, -1 \rangle$
A direction vector for the line is: $\langle 2, 3, -1 \rangle$
