barry williams - Decision Point

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📰 2**Question:** A marine robotics engineer is programming an autonomous underwater vehicle to optimize its path through a set of waypoints. The vehicle must move in such a way that its speed vector \(\mathbf{v}\) is always perpendicular to the vector \(\mathbf{w} = \begin{bmatrix} 3 \\ 4 \end{bmatrix}\). Find \(\mathbf{v}\) if it has a magnitude of 5 units. 📰 Solution:** To find a vector \(\mathbf{v}\) that is perpendicular to \(\mathbf{w} = \begin{bmatrix} 3 \\ 4 \end{bmatrix}\), we need \(\mathbf{v} \cdot \mathbf{w} = 0\). Let \(\mathbf{v} = \begin{bmatrix} x \\ y \end{bmatrix}\). The dot product condition gives: 📰 3x + 4y = 0 📰 Campintouch 7370628 📰 Jason Without Mask The Dramatic Reveal Everyones Been Waiting Foryou Wont Look Away 4100000 📰 These Landscape Forms Will Change How You See Nature Foreversee Them Before Its Too Late 1026214 📰 Wellsfargfo 3146511 📰 Stop Waitingbank Like Never Before At Your Most Convenient Location 6241872 📰 Mortal Kombat 1 Arcade Moves 1186988 📰 Your Side Sleepers Secret To Unbreakable Comfort 6859430 📰 Most People Dont Know This The Eye Opening Source Behind Every Pinch Of Salt 660887 📰 Gunmetal Grey Unveiled The Ultimate Material For Odd Looks High Style 8010507 📰 Vikings Packers Ben Sims Trade 4863747 📰 Shocking Twist In The Assessment Movie You Need To Watch Before It Goes Viral 1310244 📰 Finally A Smarter Way To Track Your Health With The Optum Patient Portal 93947 📰 Citrix Ipad Secrets Boost Productivity Save Time Today 4888160 📰 Poseida Therapeutics 9554823 📰 Double List The Ridiculous Secrets People Keep Right Under Your Nose 8894844