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📰 \boxed{p = 2, \, q = 2, \, r = 6} 📰 \]Question: A tech entrepreneur in Athens designs a drone navigation system where the drone's path is represented by unit vectors $\mathbf{u}$ and $\mathbf{v}$ with an angle $\theta$ between them. If $\mathbf{u} \cdot \mathbf{v} = \frac{\sqrt{3}}{2}$, find $\theta$. 📰 Solution: The dot product of two unit vectors is $\mathbf{u} \cdot \mathbf{v} = \cos\theta$. Given $\cos\theta = \frac{\sqrt{3}}{2}$, the angle $\theta$ satisfies $\theta = \arccos\left(\frac{\sqrt{3}}{2}\right)$. This corresponds to $\theta = 30^\circ$ or $\frac{\pi}{6}$ radians. However, since cosine is positive in both the first and fourth quadrants, but angles between vectors are typically taken in $[0, \pi]$, the solution is $\boxed{\dfrac{\pi}{6}}$. 📰 Far Cry 4 Amita Vs Sabal 4283170 📰 Nutrition Facts Potbelly 8957674 📰 Rainbow Unicorn Attack 2 The Magical Phenomenon Thats Taking Youtube By Storm 9284913 📰 Fionn Whitehead 4722897 📰 Top Shorted Stocks 245557 📰 Goal Seek Excel 9192887 📰 The Ultimate Guide How To Create A Stunning Outlook Signature That Gets Noticed 8353260 📰 Erewhon 3933999 📰 Ge Smart Water Filter 8087563 📰 You Wont Believe How This Game Changed Sprinting Forever The Sprinters Game You Need To Play 8923670 📰 Microsoft Volume Licensing Login 269028 📰 This Mat Isnt Just Messyits Sabotaging Your Perfect Mat Experience 9461494 📰 Never Know When Compassion Feels Impossiblethis Providence Changed My Caregiving Journey 9332955 📰 Nutrition For Half An Avocado 2958652 📰 You Wont Believe What The Maha Report Uncovered About Future Trends 265195