Marinada '25

[lang=hr] U prostoru su zadane točke $A = (1, 1, 3)$, $B = (0, 5, 2)$ i $C = (2, 3, 1)$. Neka su $x$ = površina trokuta ABC, $y$ = udaljenost ishodišta $O$ od ravnine $\pi$ određene točkama $A$, $B$ i $C$, $z$ = volumen paralelepipeda čije su strane $OA, OB, OC$. Izračunaj $x+y+z$. [/lang] [lang=en] In space the points $A = (1, 1, 3)$, $B = (0, 5, 2)$ and $C = (2, 3, 1)$ are given. Let $x$ be the area of triangle $ABC$, $y$ be the distance from the origin $O$ to the plane $\pi$ determined by the points $A$, $B$ and $C$, and $z$ be the volume of the parallelepiped whose edges are $OA$, $OB$, $OC$. Calculate $x+y+z$. [/lang]