$(3, 2)$ is the coordinate vector of $(3, 2) \in \reals^2$, relative to the standard basis
Terms
| Term | This example | Why |
|---|---|---|
| vector | ✓ | |
| coordinate vector | ✓ |
Distinctions using this example
- Vector vs. coordinate vector: $(3, 2)$ is a vector in $\reals^2$, and it is its own coordinate vector relative to the standard basis, because $(3, 2) = 3 (1, 0) + 2 (0, 1)$. This is why vectors and coordinate vectors are easy to confuse in $\reals^n$.