I am having trouble understanding this concept. I have a sphere with the equation (x-1)^2 + (y+2)^2 + (z-4)^2 = 16
1. equation of reflectance about the x,y plane
2. equation of reflectance about the point (2,1,-2)
Thoughts.
1. My general idea upon resolving this is that since it is about a plane where z is consistant (x,y,0) then the equation for the reflectance will just be (x,y,z) = (u,v,-w)
In turn this will give us the equation of
(x-1)^2 + (y+2)^2 + (z+4)^2 = 16
Since the x and y should be the same and the radius has to be the same, its just the z that is in the opposite side of the plane.
2. Now about a point, i am even more lost here.
Thoughts, i know that the point (2,1,-2) is the mid point between the 2 sphere equations, it is not as basic as the plane question because we are shifting all 3 variables about a point. I know the radius is still going to be 4, just not sure how to relate this point to get the equation of reflectance.
Thanks,
2006-10-31
06:39:21
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2 answers
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asked by
Anonymous
in
Mathematics