Vector Problem | Need Help with Problems 3 and 4? Get Expert Assistance Here!

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The discussion focuses on seeking assistance with vector problems, specifically problems 3 and 4. The user has completed the first two problems but is unsure about the next ones. There is a request for help, and others encourage showing attempts at solving the problems to facilitate guidance. An attachment containing the problems has been submitted for review. Engaging with the community can enhance understanding and provide the necessary support for solving these vector problems.
thedudescousin
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Attached is the problem I need help on. I have done 1 and 2 but I am not sure how to do 3 and 4. Any help will be appreciated.

This is what I have so far, are the answers correct?
 

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While we are all awaiting for the attachment to be approved, you should show some attempt toward solving 3 and 4.
 
i just attaced them
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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