E is a euclidian space and f from E to E verify ∀(x,y) ∈E^2 (x ∣f(y))=(f(x)∣y) prove that f is linear.


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Question Number 50387 by Abdo msup. last updated on 16/Dec/18

$E i s a e u c l i d i a n s p a c e a n d f f r o m E t o E v e r i f y$ $\forall (x, y) \in E^{2} (x ∣ f (y)) = (f (x) ∣ y) p r o v e t h a t f i s l i n e a r .$
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