No it is not it is a lie from Doctor Who!
The unit for real numbers is the number 1.
Atom is not an "invented unit". Atoms are quite real.
Real
Commercial retail unit
no shut up smelly
kilometers256225
a unit of language
not a real unit of measurement
It measures the quantity of the real GDP of other countries that you get for a unit of your countries real GDP
In real life unit vectors are used for directions, e.g east, north and up(zenith). The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
real output per unit of input.
no