When are two vectors counted as equal?
ASame magnitude and same start point
BSame direction and same start point
CSame length and opposite direction
DSame magnitude and same direction
Answer & Solution
Correct answer: D. Same magnitude and same direction
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_
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