Q. If $pth,\ qth,\ rth$ term of a GP are the positive numbers $a,b,c$ then angle between the vectors $\log{a^{3}\widehat{\mathbf{i}} + \log{b^{3}\widehat{\mathbf{j}} + \log{c^{3}\widehat{\mathbf{k}}}}}$ and $(q - r)\widehat{\mathbf{i}} + (r - p)\widehat{\mathbf{j}} + (p - q)\widehat{\mathbf{k}}$ is
A) $\frac{\pi}{6}$
B) $\frac{\pi}{2}$
C) $\frac{\pi}{3}$
D) $\sin^{- 1}\left( \frac{1}{\sqrt{a^{2} + b^{2} + c^{2}}} \right)$
Explanation
The correct answer is Option B: $\frac{\pi}{2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.