Question
Find the distance between the points P(1, –3, 4) and Q (– 4, 1, 2).

Answer

The distance PQ between the points P (1,–3, 4) and Q (– 4, 1, 2) is
$P Q=\sqrt{(-4-1)^{2}+(1+3)^{2}+(2-4)^{2}}$ [using distance formula]
$=\sqrt{25+16+4}$
$=\sqrt{45}=3 \sqrt{5} $units

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