AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}\) is a vector of magnitude \(7, \mathbf{b}\) is a vector of magnitude 8 , then the maximum value of \(\mathbf|{a} \cdot \mathbf{b}|\) is
- A 5 and \((\mathbf{a} \cdot \mathbf{b})=\frac{\pi}{6}\)
- B 28 and \((\mathbf{a} \cdot \mathbf{b})=\frac{\pi}{3}\)
- C 56 and \((\mathbf{a} \cdot \mathbf{b})=\frac{\pi}{2}\)
- D 56 and \((\mathbf{a} \cdot \mathbf{b})=\pi\)
Answer & Solution
Correct Answer
(D) 56 and \((\mathbf{a} \cdot \mathbf{b})=\pi\)
Step-by-step Solution
Detailed explanation
Given, \(|\mathbf{a}|=7\) and \(|\mathbf{b}|=8\) \(\mathbf{a} \cdot \mathbf{b}=|\mathbf{a}||\mathbf{b}| \cos \theta\)…
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