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I think you mean "aligned," which means "lined up with." I'd have to see the whole sentence to know for sure what is meant by "aligned dimension," but it sounds like you're trying to assemble something, and the instructions are telling you to line up two parts by either their length or their width.
Dimension.
In aligned system you place the dimensions( or numerals) above the dimension lines so that they can be read from bottom or right edge of your sheet. In unidirectional system, all the numerals are placed along the dimension lines, all in the same direction such that they can be read from the bottom edge. This figure explains it clearly: http://www.maelabs.ucsd.edu/mae_guides/cad/dimensioning/Dimensioning_Fundementals_files/image034.gif
It basically means the measure of the size of an object. Such as a shape is measured in length.
Depends what u mean by dimension it is not a spacial dimen no but roughness could be a dimension ( just a theory) If time is a dimension that mens we are flowing through it and everything has a set path and we have no control over ourselves also time travel can only be real if time is a dimension and if it is we could predict the future as everything has a set path (i f time is a dimension.