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Question

If $a$, $b$, $c$ are the $p^{th}$, $q^{th}$, and $r^{th}$ terms of a G.P., then what is the angle between the vectors $\overrightarrow{u} = (\log a)\hat{i} + (\log b)\hat{j} + (\log c)\hat{k}$ and $\overrightarrow{v} = (q-r)\hat{i} + (r-p)\hat{j} + (p-q)\hat{k}$?

$\frac{\pi}{3}$

$\frac{\pi}{6}$

$\pi$

$\frac{\pi}{2}$

Solution

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