That is simply called the "distance".
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Yes, the x-distance, y-distance, z-distance, or any combination of the three between any two points may be zero Not possible. If the distance between two points is zero then the points are the same.
An interval. The short distance is the length of a straight line joining the two points.
The distance postulate is such: the shortest distance between two points is a line.(xy, x-y) The distance postulate is such: the shortest distance between two points is a line.(xy, x-y)
wavelength
The distance between two points is Square root of [ (difference in their 'x' coordinates)2 + (difference in their 'y' coordinates)2 ]