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Q.
Find the distance between the points $P(1, -3, 4)$ and $Q (-4,1,2)$.
Introduction to Three Dimensional Geometry
Solution:
The distance between the points $P(1, -3, 4)$ and $Q(-4,1,2)$ is
$PQ = \sqrt{\left(-4-1\right)^{2}+\left(1+3\right)^{2}+\left(2-4\right)^{2}} $
$= \sqrt{25+16+4}= \sqrt{45}$
$= 3\sqrt{5}$ units