COMEDK · Maths · 33. Vector Algebra
If \(|\mathrm{a}|=8,|\mathrm{b}|=3\) and \(|\mathrm{a} \times \mathrm{b}|=12\), then find the angle between \(\mathrm{a}\) and \(\mathrm{b}\).
- A \(\dfrac{\pi}{3}\)
- B \(\dfrac{\pi}{6}\)
- C \(\dfrac{\pi}{4}\)
- D None of these
Answer & Solution
Correct Answer
(B) \(\dfrac{\pi}{6}\)
Step-by-step Solution
Detailed explanation
The magnitude of the cross product of two vectors \(\mathrm{a}\) and \(\mathrm{b}\) is given by the formula \(|\mathrm{a} \times \mathrm{b}| = |\mathrm{a}| |\mathrm{b}| \sin \theta\), where \(\theta\) is the angle between the vectors. Given \(|\mathrm{a}| = 8\),…
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