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Introduction to 3D coordinate geometry — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSIntroduction to 3D coordinate geometry2 Marks
Question
Find the distance between the points P and Q having coordinates (-2, 3, 1) and (2, 1, 2).
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Answer

Distance between points P and Q
$\text{PQ}=\sqrt{(\text{x}_1-\text{x}_2)^2+(\text{y}_1-\text{y}_2)^2+(\text{z}_1-\text{z}_2)^2}$
$=\sqrt{(-2-2)^2+(3-1)^2+(1-2)^2}$
$=\sqrt{(-4)^2+(2)^2+(-1)^2}$
$=\sqrt{16+4+1}$
$\text{PQ}=\sqrt{21}\text{ units}$

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