Basic Vectors (Edexcel A-Level Mathematics): Flashcards

They have both magnitude (size) and direction.

$\mathbf{a} = \begin{pmatrix} a_1 \\ a_2 \end{pmatrix}$

$|\mathbf{a}| = \sqrt{a_1^2 + a_2^2}$

Add/subtract component-wise: $\mathbf{a} + \mathbf{b}$

Its magnitude changes, but the direction remains the same.

It shows how to get from the origin to a point.

Use $\overrightarrow{AB} = B - A$.

A vector with a magnitude of $1$ unit.

Shorten it by dividing by its magnitude $\sqrt{58}$.

It represents a 2D vector with components $x$ and $y$.