Re: unit vector of length vector is dimensionless???

i.love.jeevitha wrote:

If there is a position vector between 2 points in this space, say
between two buildings or something, then the magnitude of this vector
is a length (metres, or whatever). That is the dimension of the
position vector or any vector which this coordinate system is really
set up for is length.

Now if we find the unit vector of the said position vector, it is
dimensionless. How would one graph the unit vector on this coordinate
system? How would one go about "thinking" about what it really means
to say that this unit vector has magnitude 1? Is that 1m? No. Then what is it (geometrically) ? ...

A unit vector has no units due to how it is calculated (normalized).
It simply represents a direction. This isn't rocket science..
.

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