Step-by-step explanation: To find the distance between two points in three-dimensional space, we can use the distance formula. The distance between two points P(x1, y1, z1) and Q(x2, y2, z2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
In this case, the coordinates of point P are (0, 1, -2), and the coordinates of point Q are (-2, -1, 1). Plugging these values into the formula, we get:
d = sqrt((-2 - 0)^2 + (-1 - 1)^2 + (1 - (-2))^2)
= sqrt((-2)^2 + (-2)^2 + (3)^2)
= sqrt(4 + 4 + 9)
= sqrt(17)
Therefore, the distance between point P(0, 1, -2) and point Q(-2, -1, 1) is sqrt(17), which is approximately 4.123 units.