Reflection of a Line in a Plane

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Homework Help Overview

The original poster presents a problem involving the reflection of a line in a plane, specifically seeking the vector equation of a line reflected in the plane defined by the equation 2x - y + z - 9 = 0.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the problem and questions the method for reflecting a line in a plane. Another participant suggests conceptualizing the plane as a mirror and indicates that reflecting a vector along the line and knowing a point on the line are key elements.

Discussion Status

The discussion includes an initial inquiry from the original poster and a response that offers a conceptual approach. One participant claims to have solved the question, but no detailed solution has been shared, leaving the discussion open for further contributions.

Contextual Notes

The original poster indicates a lack of clarity on relevant equations and methods, which may affect the discussion's progression.

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Homework Statement


Question:

Find the vector equation of the line r = (0,2,-1)+t(1,0,1), t belongs to real numbers, reflected in the plane 2x-y+z-9 = 0.

I am not sure on how to start solving this question and how do you reflect a line in a plane? What method would you use?

Thank you for your help!


Homework Equations


not sure


The Attempt at a Solution


not sure how to attempt the question
 
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how do you reflect a line in a plane?
Think of the plane as a mirror ... all you need is the reflection of any vector pointing along the line, and one point on the line.
 
ah I solved the question! thanks for your help! :D
 
No worries.
If you showed us your solution, it would help others stuck in the same place you were.
 

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