Let \(\vec{p}\) and \(\vec{q}\) be two unit vectors and \(\alpha\) be the angle between them. Then \((\vec{p}+\vec{q})\) will be a unit vector for what value of \(\alpha\)?
A. \(\frac{\pi}{4}\)
B. \(\frac{\pi}{3}\)
C. \(\frac{\pi}{2}\)
D. \(\frac{2\pi}{3}\)
Official Solution
Correct Answer: \(\frac{2\pi}{3}\)
Explanation:
\(\frac{2\pi}{3}\)
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