Marinada '21

[lang=hr] Slikar i dalje proučava perspektivu. Zna da se pravci koji su paralelni u prostoru, kad se crtaju u perspektivi, na slici svi sijeku u jednoj točki, točki nestajanja. Odredite gdje je na staklu točka nestanja skupa svih pravaca paralelnih s pravcem koji prolazi točkama $(1,1,1)$ i $(2,3,4)$. Staklena ravnina se nalazi u $XZ$ ravnini, a slikarovo oko u točki $(0,-4,0)$ \\ Odgovor napišite kao uređenu trojku koordinata, npr. "(1,2,3)", bez navodnika. [/lang] [lang=en] The artist is continuing to further his understanding of perspective. Knowing that, when drawn in perspective, any set of lines parallel in space intersect at one point on the painting, the vanishing point. Determine the vanishing point on the pane of glass of the set of all lines parallel to the line witch passes through the points $(1,1,1)$ and $(2,3,4)$. The glass pane is positioned to match the $XZ$ plane and the artist's eye is at $(0,-4, 0)$. \\ Write the answer as an ordered triple of coordinates, e.g. '(1,2,3)' without quotes. [/lang]