Answer
$D = 7$
See graph below.
Work Step by Step
Given P (5, 0, 10) and Q (3, -6, 7), the question asks for a graph of the two points and the distance between them.
See graph below (graphed with GeoGebra)
The distance between the two points is determined by the distance formula:
$D = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2 }$
$D = \sqrt {(3 - 5)^2 + (-6 - 0)^2 + (7 - 10)^2 }$
$D = \sqrt {4 + 36 + 9}$
$D = \sqrt {49}$
$D = 7$