unit vector


Also found in: Dictionary, Wikipedia.

unit vector

[′yü·nət ′vek·tər]
(mathematics)
A vector whose length is one unit.
References in periodicals archive ?
We can define the angle formed by a quaternionic k-frame and a quater-nionic unit vector, in the same manner as Definition 2.
The [xi]-sectional curvature K([xi],X) of a trans-Sasakian manifold for a unit vector field X orthogonal to
2]y defined as the angle between the unit vectors of the axes [O.
s] is the unit vector of incident and scattering waves respectively.
We say that a complemented framed structure is defined on a Riemannian manifold (M, g) if there exist a tensor field [phi] of type (1,1), the unit vector fields [U.
The vector t(x) = r'(x) is called the tangential unit vector of an admissible curve r in a point P(x).
Let (M,g) be a Riemannian manifold admitting a semi-symmetric metric connection and U be a parallel unit vector field with respect to the Levi-Civita connection [nabla].
2] denote the unit vectors normal to the surface pointing into the outer and inner regions, respectively, and accomplish [[?
n+1]), let [epsilon](X) = <X, X>; X is said to be a unit vector field if [epsilon](X) = [+ or -]1, timelike if [epsilon](X) = -1.
The single crack is characterized then by the crack radius l and the orientation of the crack surface normal, a unit vector n, see Fig.
For a unit vector X in an n-dimensional submanifold M of a real space form [R.