CUET · MATHS · PYQ PAPER 2023
The angle between 2 vectors \(\vec{a}\) and \(\vec{b}\) with magnitude 1 and 2 respectively when \(\vec{a} \cdot \vec{b}=1\) is:
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{3}\)
- C \(\frac{\pi}{2}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{3}\)
Step-by-step Solution
Detailed explanation
\(\vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta\) \(1 = (1)(2) \cos \theta\) \(\cos \theta = \frac{1}{2}\) \(\theta = \frac{\pi}{3}\)
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