Proving the Dot Product and Norm Theorems

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Homework Statement


1gktpx.jpg

The Attempt at a Solution


I let D be the center x = DX & a = DA

(x-a) * (x+a)=|x|^2-|a|^2

Dunno what to do with the right side of the equation
 
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The right side is zero, since x = a, and if a dot product of two vectors is zero they are perpendicular.
 
x = a since both the radius of the circle correct?
 
Yes.
 

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