Nope
A vector of magnitude 1.
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
Vector systems are a branch of mathematics that is used to manipulate measurements that have a value as well as a direction. Common examples are velocity, acceleration, force, etc - measurements involving motion. However, some motion-related measurements are not vectors. Distance, speed are not.
In math, a "vector field" is an abstract term for a set, and a number of operations, that have specific properties. Matrices of the same size, for example, all 3 x 2 matrices, combined with matrix addition and multiplication by a scalar, happens to have all those properties. You may want to read an introductory Linear Algebra book for more details.
F. Brickell has written: 'Matrices and vector spaces' -- subject(s): Matrices, Problems, exercises, Vector spaces
Nope
Robert M. Thrall has written: 'Vector spaces and matrices' -- subject(s): Vector spaces, Matrices 'A generalisation of numerical utilities 1'
A vector of magnitude 1.
"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
Frederick Brickell has written: 'Matrices and vector spaces'
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
In the branch of mathematics called differential geometry, an affine connection is a geometrical object on a smooth manifold which connects nearby tangent spaces, and so permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space.
Vector systems are a branch of mathematics that is used to manipulate measurements that have a value as well as a direction. Common examples are velocity, acceleration, force, etc - measurements involving motion. However, some motion-related measurements are not vectors. Distance, speed are not.
there are pseudo inverses for non-square matrices a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator
Electrical engineering uses many branches of mathematics including complex numbers, matrices and linear equations. To study machines needs dynamics and thermodynamics. Radio systems use the theory of electromagnetics that uses vector algebra and optionally tensor algebra. Many branches of electrical engineering use the theory of differential equations and functions of a complex variable. So if you are good at mathematics electricity gives plenty of scope.
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces. It also studies modules over these abstract algebraic structures.