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The 0 vector is unique.
The additive inverse of a vector is unique.
The 0 scalar multiplied by any vector equals the 0 vector.
The 0 vector multiplied by any scalar equals the 0 vector.
If the product of a vector and a scalar is 0
The additive inverse of a vector equals the vector multiplied by -1.
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If the product of a vector and a scalar is 0
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