CUET · MATHS · PYQ PAPER 2025
If \(\vec{a}\) and \(\vec{b}\) are two non-zero vectors such that \(|\vec{a} \cdot \vec{b}|=|\vec{a} \times \vec{b}|\), then the angle \(\theta\) between \(\vec{a}\) and \(\vec{b}\) is
- A \(\frac{\pi}{2}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{\pi}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{4}\)
Step-by-step Solution
Detailed explanation
\(| |\vec{a}| |\vec{b}| \cos \theta | = | |\vec{a}| |\vec{b}| \sin \theta |\) \(|\cos \theta| = |\sin \theta|\) \(|\tan \theta| = 1\) \(\theta = \frac{\pi}{4}\)
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