Direction is the information contained in the relative position of one point with respect to another point without the
distance information. Directions may be either
relative to some indicated reference (the violins in a full orchestra are typically seated to the left of the conductor), or absolute according to some previously agreed upon frame of reference (New York City lies due west of Madrid). Direction is often indicated manually by an extended
index finger or written as an
arrow. On a vertically oriented sign representing a horizontal plane, such as a road sign, "forward" is usually indicated by an upward arrow. Mathematically, direction may be uniquely specified by a
unit vector in a given
basis, or equivalently by the angles made by the most direct path with respect to a specified set of axes.
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