Example · High school
Terms
| Term | This example | Why |
|---|
| basis |
✗ |
Both point along the $x$-axis, so no combination of them gives $(0, 1)$.
|
| linearly independent |
✗ |
The vectors $(1, 0)$ and $(2, 0)$ are not linearly independent, because $(2, 0) = 2 (1, 0)$.
|
| orthogonal |
✗ |
The vectors $(1, 0)$ and $(2, 0)$ are not orthogonal, because their dot product is $1 \cdot 2 + 0 \cdot 0 = 2$.
|
| pairwise linearly independent |
✗ |
The vectors $(1, 0)$ and $(2, 0)$ are not pairwise linearly independent, because $(2, 0) = 2 \cdot (1, 0)$.
|
| orthonormal |
✗ |
The vectors $(1, 0)$ and $(2, 0)$ are not orthonormal, because their dot product is $2$.
|
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