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PART - 2 CH - 11 Introduction to Three Dimensional Geometry — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPART - 2 CH - 11 Introduction to Three Dimensional Geometry2 Marks
Question
Write the distances of point $(1,2,3)$ from the coordinate axes.
✓

Answer

Distance from $x-axis$
$=\sqrt{(1-1)^2+(2-0)^2+(3-0)^2}$
$=\sqrt{4+9}=\sqrt{13}$
Distance from $y-axis$
$\begin{array}{l}=\sqrt{(1-0)^2+(2-2)^2+(3-0)^2} \\=\sqrt{1+9}=\sqrt{10}\end{array}$
Distance from $z-axis$
$\begin{array}{l}=\sqrt{(1-0)^2+(2-0)^2+(3-3)^2} \\=\sqrt{1+4}=\sqrt{5}\end{array}$

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