3D Coordinate Geometry - Problem Solving

Pi Han Goh and Jimin Khim contributed

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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 $\sqrt{5^2 + 12^2+ 84^2} = 85. \ _\square$

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