Reflection of a Line in a Plane

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To reflect the line r = (0,2,-1) + t(1,0,1) in the plane defined by 2x - y + z - 9 = 0, one must determine the reflection of a point on the line and the direction vector. The reflection process involves treating the plane as a mirror, requiring the calculation of the perpendicular distance from the line to the plane. Once the reflection of the direction vector and a point on the line is found, the new vector equation can be formulated. Sharing the solution can assist others facing similar challenges.
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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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