If \(\vec{a} + \vec{b} + \vec{c} = \vec{0}\), \(|\vec{a}| = \sqrt{37}\), \(|\vec{b}| = 3\) and \(|\vec{c}| = 4\), then the angle between \(\vec{b}\) and \(\vec{c}\) is
A. \(\dfrac{\pi}{6}\)
B. \(\dfrac{\pi}{4}\)
C. \(\dfrac{\pi}{3}\)
D. \(\dfrac{\pi}{2}\)
Official Solution
Correct Answer: \(\dfrac{\pi}{3}\)
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