Basis vectors In previous chapter, we describe vector as coordinate, where each coordinate value is location (or movement) of $x$-axis or $y$-axis. There is another view of coordinate value: If there is a pair of number $\begin{bmatrix} v_1 \\ v_2 \end{bmatrix}$ that describe a vector $\mathbf{\vec{v}}$, think each coordinate value as a scalar. In XY-coordinate system, there are two special vect..

Vector is the fundamental building block of linear algebra, so it's worth making sure what exactly a vector is. Perspective of Vector Physics student: vectors are arrows, defined by length and direction, pointing in space. Computer Science student: vectors are ordered lists of numbers. Mathematician student: vector can be anything where there's a sensible notion of 1). adding two vectors and 2)...