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JEE Physics Practice Question

Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$\theta$$ to each other?

  1. A.$$|\widehat A + \widehat B| = |\widehat A - \widehat B|\tan {\theta \over 2}$$
  2. B.$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\tan {\theta \over 2}$$
  3. C.$$|\widehat A + \widehat B| = |\widehat A - \widehat B|cos{\theta \over 2}$$
  4. D.$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\cos {\theta \over 2}$$

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