If θ is the angle between the vector Ā and B̄ such that |Ā × B̄| = |Ā . B̄|, then θ is?
- 45°
- 60°
- 90°
- 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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