notes/education/math/MATH1060 (trig)/Vectors.md

A vector is a mathematical concept that denotes direction and magnitude. They're often notated using an arrow (\vec{v}), or with a bold, lowercase letter. (v).

Vectors are often denoted as a matrix with two rows: \begin{bmatrix}1 \\2\end{bmatrix}

Magnitude

The magnitude of a vector is |\vec{v}| = \sqrt{a^2 + b^2}

Direction

The direction of a vector is \theta = \tan^-1(\frac{b}{a}).