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Sticky Note
If θ is the angle between the vector Ā and B̄ such that |Ā × B̄| = |Ā . B̄|, then θ is?
  1. 45°
  2. 60°
  3. 90°
  4. None of these
Explanation

We know |A × B| = |A||B| sinθ and |A . B| = |A||B| cosθ  

Put them equal: |A||B| sinθ = |A||B| cosθ  

Cancel |A||B|: sinθ = cosθ  

So tanθ = 1 → θ = 45°


Last verified on 05-06-2026

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