The two non-zero vectors Ā and B̄ are parallel if?
- Ā × B̄ = 0̄
- Ā + B̄ = 0̄
- Ā - B̄ = 0̄
- None of these
Explanation
Formula: Ā × B̄ = |Ā||B̄| sinθ
For non-zero vectors, |Ā||B̄| is never 0.
So cross product = 0 only when sinθ = 0 → θ = 0° or 180°
That’s exactly same direction or opposite direction = parallel.
This works for ALL parallel cases.
So correct answer is = Ā × B̄ = 0̄
Last verified on 04-06-2026
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