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Discover LudwigThe phrase "a unit vector" is correct and usable in written English.
It is typically used in mathematics and physics to refer to a vector that has a magnitude of one and indicates direction.
Example: "In physics, we often use a unit vector to represent the direction of a force without considering its magnitude."
Alternatives: "a normalized vector" or "a directional vector".
Exact(59)
The expression for the magnetic field B a distance r from a long straight wire with current i is where θ is a unit vector pointing in a circle around the wire.
Let u be a unit vector
where e i is a unit vector in the direction of gravity.
where x k /r is a unit vector in the radial direction.
For each (t in Omega ), let (u_{t}) be a unit vector in (mathcal {H}).
where r ΩΩ' is a unit vector in the direction of Ω-Ω' bond.
where h ~ k = h k / ∥ h k ∥ is a unit vector representing a channel direction.
Such a unit vector x is said to be a homogeneous direction of isosceles orthogonality.
For Φ, each of its atoms (columns) is a unit vector in the l2 norm.
For that purpose we describe families of curves as integral curves of a unit vector field.
(hat {r}) is a unit vector that points in the direction of r.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com