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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीUnder coordinate reflection where all position coordinates change sign (\( x \to -x, y \to -y, z \to -z \)), every true vector changes its sign (\( \mathbf{a} \to -\mathbf{a} \)). The cross product \( \mathbf{a} \times \mathbf{b} \):
Correct answer · Option 1
Does not change sign, remaining \( \mathbf{a} \times \mathbf{b} \)
Explanation
Under reflection, \( \mathbf{a} \to -\mathbf{a} \) and \( \mathbf{b} \to -\mathbf{b} \), so \( \mathbf{a} \times \mathbf{b} \to (-\mathbf{a}) \times (-\mathbf{b}) = \mathbf{a} \times \mathbf{b} \). Hence it does not change sign.
