We are in an euclidian space, and we have to maximize the quadratic form : $x\in B\rightarrow (x|u) (x|v) $where $u$ and $v$ are two given vectors, and $B=\{x:||x||\leq1\}$
I don't find where i have to begin...
2026-03-25 18:58:45.1774465125
How to maximize this function
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Sorry, i have finally found the answer. It becomes easy if you use the orthogonal projection $p(x)$ of $x$ on $Vect(u,v)$. Then it is one bidimensional problem.