(n^2-n)/2-1
What is Collinear Vector
A vector is a quantity with both a direction and magnitude
When drawing a vector using the triangle method you will draw in the resultant vector using Pythagorean theorem. This is taught in physics.
The difference is the length of the vector.
ki where i is the unit horizontal vector, and k is any number.
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'
Linear Algebra
A zero vector is a vector whose value in every dimension is zero.
Rational dimension refers to the dimension of a vector space over the field of rational numbers. It is the minimum number of linearly independent vectors needed to span the entire vector space. The rational dimension can differ from the ordinary dimension of a vector space if the vectors are over a field other than the rational numbers.
Frederick Brickell has written: 'Matrices and vector spaces'
An augmented vector is a vector that is augmented with an extra dimension. This new dimension always takes on the value of 1. e.g. X = (5, 2) X' = (5, 2, 1) where X' is the augmented form of vector X.
The Fourth dimension in Space is a real distance dimension r, completing the three vector displacement dimensions. Space is a quaternion with one real dimension and three vector dimensions, s= r + Ix + Jy + Kz, where I,J and K denote the vector dimensions. The real dimension r is related to time by r=ct where c is the speed of light. Einstein and Minkowski proposed in Relativity Theory a defective four dimension Space, where the fourth dimension is a vector Ict . This Space is essentially a two dimensional Space and does not exhibit the non-commuttive features of the quaternion Space.
No. The Universe is consists of a real dimension and three vector dimensions. The three spatial dimensions are vectors and the one real dimension r = ct includes t the time unit.
Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.
Three - one for each dimension of space. Or four, if you need a time component as well.