Finding the Perpendicular Vector Equation

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SUMMARY

The discussion centers on finding the equation of a line, p, that is perpendicular to the line defined by the vector equation r=(1,1,1)t + (3,5,2) and passes through the point (3,3,1). The key method involves using the dot product, which must equal zero for the direction vectors of lines p and r. Participants emphasize the importance of reviewing textbooks and notes for similar examples to reinforce understanding of the concept.

PREREQUISITES
  • Understanding of vector equations in three-dimensional space
  • Knowledge of the dot product and its properties
  • Familiarity with the concept of perpendicular vectors
  • Basic skills in solving linear equations
NEXT STEPS
  • Review examples of vector equations in textbooks
  • Practice calculating dot products with different vectors
  • Study the geometric interpretation of perpendicular lines
  • Explore applications of vector equations in physics and engineering
USEFUL FOR

Students studying linear algebra, geometry, or physics, particularly those needing assistance with vector equations and their applications in three-dimensional space.

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.
 

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