# 3D Coordinate Geometry - Problem Solving

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Assume a particle is at the origin of a 3D plane. If it moves 5 units in the direction of the $x$-axis, then 12 units in the direction of the $y$-axis, and then 84 units in the direction of the $z$-axis, what is its displacement?

By the Pythagoras theorem, the displacement is $\sqrt{5^2 + 12^2+ 84^2} = 85. \ _\square$

**Cite as:**3D Coordinate Geometry - Problem Solving.

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