The additive inverse of a vector is unique.

Created almost 9 years ago, updated about 8 hours ago

The additive inverse of a vector is unique. If $v+w=0$ and $v+z=0$, then $w=w+(v+z)=(w+v)+z=z$. Thus every vector has one well-defined negative.

The additive inverse of a vector is unique. If $v+w=0$ and $v+z=0$, then $w=w+(v+z)=(w+v)+z=z$. Thus every vector has one well-defined negative.

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