$(0, 0) \in \reals^2$, for vector addition
Terms
| Term | This example | Why |
|---|---|---|
| zero vector | ✓ | $(0, 0)$ is the zero vector of $\reals^2$. |
| identity element | ✓ | $(0, 0)$ is the identity element for vector addition in $\reals^2$, because adding it changes nothing. |
| zero | ✗ | $(0, 0)$ is not the number zero, because it is a vector. |