Question

How null vectors are obtained

Answer 1

Answer:

Vector

There are several meanings of "null vector" in mathematics.

1. The most common meaning of null vector is the n-dimensional vector 0 of length 0. i.e., the vector with n components, each of which is 0 (Jeffreys and Jeffreys 1988, p. 64).

2. When applied to a matrix A, a null vector is a nonzero vector x with the property that Ax=0.

3. When applied to a vector space X with an associated quadratic form q, a null vector is a nonzero element x of X for which q(x)=0.

4. When applied to a geometric product satisfying the contraction rule a^2=epsilon_a|a|^2 for a an element of an n-vector space, a null vector is a value of a such that a!=0

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