The metric of a geometric space is defined as the distance between two points.
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It is defined as a line segment
the distance between two points is length
The distance between these two points is termed as a 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.
No, the wavelength of a wave is defined as the distance between any two points which are in phase with each other. Two points in phase only when they are moving with the same velocity in the same direction and are at the same displacement from the mean position.