Which of the following relations is true for two unit vector \( \hat{A} \) and \( \hat{B} \) mak...

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Which of the following relations is true for two unit vector \( \hat{A} \) and \( \hat{B} \) making an angle to \( \theta \) each other?
(a) \( |\hat{A}+\hat{B}|=|\hat{A}-\hat{B}| \tan \frac{\theta}{2} \)
(b) \( |\hat{A}-\hat{B}|=|\hat{A}+\hat{B}| \tan \frac{\theta}{2} \)
(c) \( |\hat{A}+\hat{B}|=|\hat{A}-\hat{B}| \cos \frac{\theta}{2} \)
(d) \( |\hat{A}-\hat{B}|=|\hat{A}+\hat{B}| \cos \frac{\theta}{2} \)
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