What is the position vector

For a point with coordinates $(x, y, z)$ in three-dimensional space, the position vector $\mathbf{r}$ is given by:

$$\mathbf{r} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$$

where $\mathbf{i}$, $\mathbf{j}$, and $\mathbf{k}$ are the unit vectors along the x, y, and z axes, respectively.

In two-dimensional space, for a point $(x, y)$, the position vector is:

$$\mathbf{r} = x\mathbf{i} + y\mathbf{j}$$