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The two non-zero vectors Ā and B̄ are parallel if?
  1. Ā × B̄ = 0̄
  2. Ā + B̄ = 0̄
  3. Ā - B̄ = 0̄
  4. 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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