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NEET UG PHYSICS MCQ: MOTION IN PLANE

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Application +4 | -1
If 13∣a⃗×b⃗∣=a→⋅b→\frac{1}{{\sqrt 3 }}\left| {\vec a \times \vec b} \right| = \overrightarrow a \cdot \overrightarrow b then angle between a→\overrightarrow a and b→\overrightarrow b is
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Correct option: B
60∘60^\circ
Option B (60∘60^\circ) is correct because when 13∣a⃗×b⃗∣=a→⋅b→\frac{1}{{\sqrt 3 }}|{\vec a \times \vec b}| = \overrightarrow a \cdot \overrightarrow b, it implies that tan⁡θ=13\tan \theta = \frac{1}{{\sqrt 3 }}, which means θ=60∘\theta = 60^\circ.

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