First slide

Introduction to 3-D Geometry

Question

The projections of a line segment on $x, y$ and $z$ axes are respectively 3, 4 and 12. The length of the line segment is

Moderate

Solution

The length of the given segment is
$\sqrt{3^{2} + 4^{2} + 12^{2}} = \sqrt{9 + 16 + 144} = \sqrt{169} = 13 .$

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