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education/math/MATH1060 (trig)/Vectors.md
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A vector is a mathematical concept that denotes direction and magnitude. They're often notated using an arrow ($\overrightarrow{v}$), or with a bold, lowercase letter. (**v**). 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: $\begin{bmatrix}1 \\2\end{bmatrix}$
$$\begin{bmatrix}
1 \\
2
\end{bmatrix}
$$
# Magnitude # Magnitude
The magnitude of a vector is $|\overrightarrow{v}| = \sqrt{a^2 + b^2}$ The magnitude of a vector is $|\vec{v}| = \sqrt{a^2 + b^2}$
# Direction # Direction
The direction of a vector is $\theta = \tan^-1 The direction of a vector is $\theta = \tan^-1(\frac{b}{a})$.