Parallel Vectors - Learn How to Calculate

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    Parallel Vectors
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To find a vector that is perpendicular to two given vectors, the cross product of the two vectors should be calculated. For vectors A(1,-1,2) and B(2,1,-3), the cross product A x B yields a vector that is perpendicular to both. To convert this resultant vector into a unit vector, divide it by its norm. Understanding how to compute the cross product is essential for this process. This method effectively identifies perpendicular vectors in three-dimensional space.
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Sorry - Answered my own question.
 
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To find a vector which is perpendicular to 2 others, just find the cross product between the two.

Let A(1,-1,2) and B(2,1,-3).

A x B will be perpendicular to both vectors A and B.
(I hope you know to find cross product)

To find unit vector just divide the resultant with the norm.
 
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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