# Equality of Vectors

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## Theorem

Two vectors are equal if and only if they have the same magnitude and direction.

## Proof

## Sources

- 1961: I.M. Gel'fand:
*Lectures on Linear Algebra*(2nd ed.) ... (previous) ... (next): $\S 1$: $n$-Dimensional vector spaces - 1968: Murray R. Spiegel:
*Mathematical Handbook of Formulas and Tables*... (previous) ... (next): $\S 22$: Fundamental Definitions: $1.$