Question
========
What is the distance between the two points
$p = (2, 4)$ and $q = (5, 4)$
in a Cartesian coordinate system?
Solution
========
The distance $d$ of $p$ and $q$ is given by
$d^2 = (p_1 - q_1)^2 + (p_2 - q_2)^2$ (Pythagorean formula).
Hence $d = \sqrt{(p_1 - q_1)^2 + (p_2 - q_2)^2} =
\sqrt{(2 - 5)^2 + (4 - 4)^2}
= 3$.
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![](distplot-1.svg)
Meta-information
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extype: num
exsolution: 3
exname: Euclidean distance
extol: 0.01