Finding the Perpendicular Vector Equation

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To find the equation of line p that is perpendicular to r=(1,1,1)t + (3,5,2) and passes through the point (3,3,1), the direction vector of p must be orthogonal to the direction vector of r. This is achieved by ensuring the dot product of the two direction vectors equals zero. The user is advised to refer to their textbook and notes for similar examples to aid in solving the problem independently. Utilizing available resources is crucial for understanding the steps needed to derive the equation. The discussion emphasizes the importance of self-research in resolving mathematical queries.
ChloeFoulkes
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Homework Statement


Find the equation of the line, p, that is perpendicular to r=(1,1,1)t + (3,5,2) and passes through (3,3,1)


Homework Equations



dot product =0

The Attempt at a Solution


I understand that the direction vector r and p, when dot producted must =0
but I've forgotten what to do from here
 
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ChloeFoulkes said:

Homework Statement


Find the equation of the line, p, that is perpendicular to r=(1,1,1)t + (3,5,2) and passes through (3,3,1)


Homework Equations



dot product =0

The Attempt at a Solution


I understand that the direction vector r and p, when dot producted must =0
but I've forgotten what to do from here

Compute the dot product and set it = 0.
 
Apparently, you've seen how to solve this type of problem before since you said you forgot what to do. Have you looked in your textbook and notes for an example you can follow? You need to use the resources you already have to try figure it out on your own before asking for help here.
 
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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