# null vector

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## null vector

[′nəl ′vek·tər]
(mathematics)
A vector whose invariant length, that is, the sum over the coordinates of the vector space of the product of its covariant component and contravariant component, is equal to zero.
(relativity)
In special relativity, a four vector whose spatial part in any Lorentz frame has a magnitude equal to the speed of light multiplied by its time part in that frame; a special case of the mathematics definition.
References in periodicals archive ?
Therefore, the complex vector P is a complex null vector which represents the lightlike nature of the photon.
The set of all integral curves given by a unit nonnull or null vector field u is called the congruence of nonnull or null curves.
Since A(x - y) must be in R(A) and p is not, both sides vanish, implying that x - y is a null vector of A and q* y must be zero.
1] is said to be spacelike, timelike and null curve if the velocity vector [alpha][phi](t) is a spacelike, timelike and null vector, respectively .
0] iff (if and only if) p = [theta], here [theta] is the null vector of V;
4] is the unique null vector field perpendicular to the plane {[[xi].
N]) which depends upon [lambda] and which we desire to be nontrivial, that is, not equal to 0, the null vector.
The most remarkable properties of the O-System is that the actual form of the parallel null vector [[lambda].
For each k, either a Householder reflection is generated and applied, or a null vector of degree i - 1 is computed.
When evaluated in the neighborhood of zero factor taxes, the vector f is a null vector, so that:
A convenient choice is the null vector, so we set w(0) = 0.
We also cannot use a zero shift; this would remove the null vector [[?
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