# Vector representation of complex numbers

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Level: A Level Maths

We can represent a complex number as a vector on an Argand diagram:

In this diagram:

• The complex number ${\displaystyle 4+3i}$ is represented by the vector ${\displaystyle {\vec {OA}}}$, where ${\displaystyle O}$ is the origin and ${\displaystyle A}$ is the point (4, 3).
• The complex number ${\displaystyle -2+3i}$ is represented by the vector ${\displaystyle {\vec {OB}}}$, where ${\displaystyle B}$ is the point (-2, 3).
• The complex number ${\displaystyle -3-i}$ is represented by the vector ${\displaystyle {\vec {OC}}}$, where ${\displaystyle C}$ is the point (-3, -1).