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📰 Solution: The dot product \(\mathbf{u} \cdot (\mathbf{v} + \mathbf{w}) = \mathbf{u} \cdot \mathbf{v} + \mathbf{u} \cdot \mathbf{w}\). Since \(\mathbf{u}\), \(\mathbf{v}\), and \(\mathbf{w}\) are unit vectors, each dot product is at most 1. The maximum occurs when \(\mathbf{u}\) aligns with both \(\mathbf{v}\) and \(\mathbf{w}\), i.e., \(\mathbf{v} = \mathbf{w} = \mathbf{u}\). Then \(\mathbf{u} \cdot (\mathbf{v} + \mathbf{w}) = 1 + 1 = 2\). 📰 \boxed{2}Question: What is the smallest four-digit number that is a multiple of the least common multiple of the numbers $12$ and $18$, and also divisible by the square of the smallest prime greater than $10$? 📰 First, compute the least common multiple (LCM) of $12$ and $18$. 📰 Food Delivery Inside The Doordash App Storefast Fresh And Always Ready 3101236 📰 You Wont Believe What Xylimelts Does When The World Goes Quietwatch Now To Uncover The Truth 8314615 📰 Unlock The Secret To Thriving Garden Stockbecome A Master Green Thumb 9337878 📰 Onlineradiobox 3534107 📰 Alaska Air Partners 5640827 📰 Cell Plan Comparison Chart 9641922 📰 Bruce Willis Hidden Secret Will Leave Fans Speechless And In Denial 7700162 📰 Fruit Garden 8553436 📰 Entry Level Cpa Salary 9063632 📰 Kiddies Bedding That Saves Sleep Looks Hot Shop Now Before Its Gone 4991037 📰 Surpass 3103216 📰 Toluca Confirmed To Shatter City Limits And Drop To Orlando City 1402601 📰 You Wont Believe How 1 Dollar Fetches Over 10 In Pen Hunt 8907583 📰 Ad Federation Services 5469112 📰 You Wont Believe How This 3D Free Kick Unblocked Game Changer Works Click Now 7329468