Locate the following points in a three-dimensional Cartesian coordinate system:
$(i)$ $(1, -1, 3)$
$(ii)$ $(-1, 2, 4)$
$(iii)$ $(-2, -4, -7)$
$(iv)$ $(-4, 2, -5)$

(N/A) To locate a point $(x, y, z)$ in a three-dimensional space:
$1.$ Start at the origin $(0, 0, 0)$.
$2.$ Move $x$ units along the $x$-axis (positive or negative).
$3.$ From that position,move $y$ units parallel to the $y$-axis.
$4.$ Finally,move $z$ units parallel to the $z$-axis.
The points are plotted as follows:
- Point $A(1, -1, 3)$ lies in the octant where $x > 0, y < 0, z > 0$.
- Point $B(-1, 2, 4)$ lies in the octant where $x < 0, y > 0, z > 0$.
- Point $C(-2, -4, -7)$ lies in the octant where $x < 0, y < 0, z < 0$.
- Point $D(-4, 2, -5)$ lies in the octant where $x < 0, y > 0, z < 0$.