Given that \( \vec{A}+\vec{B}=\vec{C} \) and that \( \vec{C} \) is \( \perp \) to \( \vec{A} \)....

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Given that \( \vec{A}+\vec{B}=\vec{C} \) and that \( \vec{C} \) is \( \perp \) to \( \vec{A} \). Further if \( |\vec{A}|=|\vec{C}| \), then what is the angle between \( \vec{A} \) and \( \vec{B} \)
(a) \( \frac{\pi}{4} \) radian
(b) \( \frac{\pi}{2} \) radian
(c) \( \frac{3 \pi}{4} \) radian
(d) \( \pi \) radian
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