The perpendicular distance between two parallel lines is always the same.
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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.
The scale is 1536 : 1
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)
That is simply called the "distance".
Yes, that is correct.