AP EAMCET · Maths · Vector Algebra
If \(p\) th, \(q\) th, \(r\) th terms of a geometric progression are the positive numbers \(a, b\) and \(c\) respectively, then the angle between the vectors \(\left(\log a^2\right) \mathbf{i}+\left(\log b^2\right) \mathbf{j}+\left(\log c^2\right) \mathbf{k} \quad\) and \((q-r) \mathbf{i}+(r-p) \mathbf{j}+(p-q) \mathbf{k}\) is
- A \(\frac{\pi}{3}\)
- B \(\frac{\pi}{2}\)
- C \(\sin ^{-1} \frac{1}{\sqrt{a^2+b^2+c^2}}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
Let first term of a GP be \(u\) and common ratio \(z\). \(\therefore \quad T_p=u z^{p-1}=a\)…
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