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Mathematics · JEE | VECTOR ALGEBRA
हिन्दीIf \( |\vec{a}| = 2, |\vec{b}| = 3 \) and \( \vec{a} \cdot \vec{b} = 3 \), then the angle between \( \vec{a} \) and \( \vec{b} \) is:
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Correct answer · Option C
\( \frac{\pi}{3} \)
Explanation
Using \( \cos\theta = \frac{\vec{a} \cdot \vec{b}}{|\vec{a}||\vec{b}|} = \frac{3}{(2)(3)} = \frac{1}{2} \), which gives \( \theta = \frac{\pi}{3} \).
