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    5. The vectors $(1, 0)$ and $(2, 0)$ in $\reals^2$

    The vectors $(1, 0)$ and $(2, 0)$ in $\reals^2$

    Example · High school

    Terms

    TermThis exampleWhy
    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 $(2, 0) = 2 (1, 0)$.

    All examples · All distinctions · All definitions

    Collection: Examples

    Updated: November 8, 2026

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