In the 3 demensiones we use, some use time as a forth, yes. Even traveling trough a wormhole will make you move even though you end up a place that is farther then what you have actually moved the distance you have moved is still positive.
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True
yes
the distance between two points is length
The distance between identical points on a wave is called wavelength.
In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.