PLz help me in this Corner Reflector Problem

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The discussion centers around understanding how a corner reflector works, specifically in the context of light reflection. A corner reflector consists of three mutually perpendicular surfaces, and the problem posed involves demonstrating that light incident on all three surfaces is reflected back parallel to its original direction. The key to solving this problem lies in analyzing the components of the light ray's velocity vector. When the light ray strikes each surface, its velocity components are inverted: the x-component becomes negative after hitting the first surface, the y-component after the second, and the z-component after the third. This results in the final velocity vector being the negative of the initial, confirming that the ray is reflected back parallel to its original path. The discussion also references the historical context of corner reflectors, noting their use in the Apollo mission on the moon in 1969.
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Hi!

Well can u help me in this problem. it is related to a device called Corner Reflector.

" A corner reflector is formed by three mutually perpendicular reflecting surfaces. Show that a ray of light incident upon the corner reflector (striking all three surfaces) is reflected back along a line parallel to the line of incidence.(Hint: Consider the effect of a reflection on the components of a vector describing the direction of the light ray). The Apollo mission placed this type of reflector on the surface of the moon in 1969."

Please help me in this problem, i just don't know how to solve it. i have only two days left for my test. Plz Help

"Thanks in advance"
 
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I believe this coursework problem has been well-answered in the relevant section.
 
"Retroreflection," try finding it through the index of your text.
 
Just think about it. The light hits the "X" mirror (which is a 'square' facing down the X axis) and it's x velovity becomes -x. It hits the "Y" and its y velocity becomes -y, it hits the "Z" and its z velocity becomes -z.

So, in the end, it's velocity goes from x,y,z to -x,-y,-z. That velocity is parrallel and opposite the original one!
 
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