When are two vectors counted as equal?

1. A vector carries only two pieces of information, its magnitude and its direction. 2. Two vectors match exactly when both pieces agree. 3. Where each one starts is irrelevant, since both reduce to the same position vector. 4. Opposite directions cannot give equality, however well the lengths match. _Source: OpenStax Precalculus (CC BY 4.0), Ch 8 "Further Applications of Trigonometry", section 8.8 Vectors_