nykkyo
Jul 20, 2011, 09:47 PM
In rectagular coordintes, all dimension lines are mutually perpendicular.
In 1D - a line is perpendiular to a point.
In 2D - a line is perpendicular to a line.
In 3D - a line is perpendicular to a plane. Each point on the 3D line, belongs to a plane.
It follows that in nD, a line is perpendicular to an (n-1)D space. Again, each point on the nD line belongs to an (n-1)D space.
Aside from the above question: How do an infinite number of dimensionless points make a line with length? That is like, adding an infinite numer of zeroes and their sum is not zero. So, does the mean sub-spaces are also dimensionless.
In 1D - a line is perpendiular to a point.
In 2D - a line is perpendicular to a line.
In 3D - a line is perpendicular to a plane. Each point on the 3D line, belongs to a plane.
It follows that in nD, a line is perpendicular to an (n-1)D space. Again, each point on the nD line belongs to an (n-1)D space.
Aside from the above question: How do an infinite number of dimensionless points make a line with length? That is like, adding an infinite numer of zeroes and their sum is not zero. So, does the mean sub-spaces are also dimensionless.