# Using the origin as the initial point, how do you draw the vector that represents the complex number 3 + 5i?

With the origin with coordinates $\left(0 , 0\right)$, the number $3 + 5 i$ is associated with the ordered pair $\left(3 , 5\right)$ on the two dimensional cartesian plane.
Thus a vector $\vec{z} = 3 \hat{i} + 5 \hat{j}$ represents the point on the complex plane where $\hat{i}$ and $\hat{j}$ are unit vectors along the $x$ and $y$ axes respectively.