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MHT CET · Physics · Mathematics in Physics

The vector sum of two forces \(\overrightarrow{\mathrm{A}}\) and \(\overrightarrow{\mathrm{B}}\) is perpendicular to their vector difference. Hence forces \(\vec{A}\) and \(\vec{B}\) are

  1. A perpendicular to each other.
  2. B parallel to each other.
  3. C unequal in magnitude.
  4. D equal in magnitude.
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Answer & Solution

Correct Answer

(D) equal in magnitude.

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Detailed explanation

\((\vec{A} + \vec{B}) \cdot (\vec{A} - \vec{B}) = 0\) \(\vec{A} \cdot \vec{A} - \vec{B} \cdot \vec{B} = 0\)
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