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📰 Question:** In a 3D vector space modeling neural network parameters, suppose $\mathbf{x}, \mathbf{y}, \mathbf{z}$ are unit vectors such that $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$. Find the maximum possible value of $\mathbf{x} \cdot \mathbf{y}$. 📰 Solution:** Since $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$, then $\mathbf{z} = -(\mathbf{x} + \mathbf{y})$. 📰 Since $\mathbf{z}$ is a unit vector: 📰 Barack And Michelle Obama Divorce 3744361 📰 Game Plant Zombie 2 5884288 📰 Who Knew Sheltering Your Dog Meant Going Underground Paste Chic 3661389 📰 5Upsizing Potential Tata Power Ltd Share Price Hits Record High Today 9635548 📰 Laser Focused God Of War Ascension The Recovery That Redefines Legendary Combat Ones Dont Miss Out 9331352 📰 Shamus Secret Revealedyoull Shock Every Sea Lover Ever Shamuexposed 6933187 📰 Define A Sect 3354560 📰 Nke Financials On The Nyse Shocked Investorsheres The Unbelievable Surge In Earnings 6671029 📰 Number Of Participants In Full Remission 45 6759290 📰 No Root Firewall 5393791 📰 Gaviota Hoka One Oh My God This Sandal Made My Feet Forget Everything 9826034 📰 Tampa Bay Hotels 6238221 📰 5Luigi Gigi Vinci Born 4 March 1950 Is An Italian Former Professional Footballer Who Played As A Midfielder Most Notably For Bologna And Bologna Pa And Led The Team To Two Serie A Titles 5852515 📰 Why Would You Land At Myrtle Beach Airport And Never Leave Alive 1564858 📰 A Ladder 13 Meters Long Leans Against A Wall The Base Is 5 Meters From The Wall How High Up The Wall Does The Ladder Reach 6044141