Position Vectors (AQA A-Level Mathematics): Flashcards

A vector representing the position of a point relative to a fixed origin

$\mathbf{r}$ or $\mathbf{OP}$

$\mathbf{r} = \begin{pmatrix} x \\ y \end{pmatrix}$

$\mathbf{r} = \begin{pmatrix} x \\ y \\ z \end{pmatrix}$

$\mathbf{AB} = \mathbf{b} - \mathbf{a}$

$|\mathbf{r}| = \sqrt{x^2 + y^2}$

$|\mathbf{r}| = \sqrt{x^2 + y^2 + z^2}$

Velocity vector

Acceleration vector

Points that lie on the same straight line