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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीIf for two non-zero vectors \( \mathbf{a} \) and \( \mathbf{b} \), the condition \( |\mathbf{a} \times \mathbf{b}| = \mathbf{a} \cdot \mathbf{b} \) is satisfied, then the angle \( \theta \) between \( \mathbf{a} \) and \( \mathbf{b} \) is:
Correct answer · Option 4
\( 45^\circ \)
Explanation
\( |\mathbf{a} \times \mathbf{b}| = ab\sin\theta \) and \( \mathbf{a} \cdot \mathbf{b} = ab\cos\theta \). Equating gives \( \tan\theta = 1 \implies \theta = 45^\circ \).
