IOM 2016, Блиц — Задача 45

Olympiad of Metropolises, Moscow. Blitz Contest, September, 5 · 5 септември 2016 г.

Условие

In the Cartesian coordinate space,

line $g$ passes through point $(10,0,7)$ and is parallel to vector $(1,0,1)$,

while line $h$ passes through point $(2,3,5)$ and is parallel to vector $(1,0,0)$.

Compute the shortest distance between the lines.

Решение

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Оригинал в Архива: blitz.pdf