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Physics · PYQ NEET UG 2016(1)

हिन्दी

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

  1. A
    \( 45^\circ \)
  2. B
    \( 180^\circ \)
  3. C
    \( 0^\circ \)
  4. D
    \( 90^\circ \)
View Answer & Solution

Correct answer · Option D

\( 90^\circ \)

Explanation

Given \( |\vec{A} + \vec{B}| = |\vec{A} - \vec{B}| \implies A^2 + B^2 + 2AB \cos\theta = A^2 + B^2 - 2AB \cos\theta \implies 4AB \cos\theta = 0 \implies \theta = 90^\circ \).
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