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Introduction To 3D Coordinate Geometry — Maths STD 11 Science — Question

Maharashtra 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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