The problem asks to mark the points $P(0,0,2)$, $Q(0,2,2)$, $R(2,1,2)$, and $S(-2,-1,2)$ on the 3D coordinate system shown in the image.

Here’s where each point lies in 3D space:

1. Point $P(0,0,2)$:

   • $x = 0$, $y = 0$, $z = 2$.
   • This point lies on the z-axis at height $z = 2$.

2. Point $Q(0,2,2)$:

   • $x = 0$, $y = 2$, $z = 2$.
   • This point is 2 units along the positive y-axis and 2 units above on the z-axis.

3. Point $R(2,1,2)$:

   • $x = 2$, $y = 1$, $z = 2$.
   • Move 2 units along the x-axis, 1 unit along the y-axis, and 2 units up on the z-axis.

4. Point $S(-2,-1,2)$:

   • $x = -2$, $y = -1$, $z = 2$.
   • Move 2 units along the negative x-axis, 1 unit along the negative y-axis, and 2 units up.

If you'd like, I can draw or describe the points further. Let me know if you'd like more detail or if something specific needs clarification.

Would you like help with further details or marking them?

Related questions:

1. How do you determine the location of a point in 3D space using coordinates?
2. What is the significance of the z-axis in 3D plotting?
3. Can points on the same z-level form a plane?
4. How would you find the distance between two points in 3D?
5. How does changing each axis coordinate affect the point's position?

Tip:

In 3D geometry, the z-axis usually represents height or depth, while the x-axis and y-axis represent horizontal and vertical positioning.