Časť:
Project ID:
9000106307
Accepted:
1
Clonable:
0
Easy:
0
Sú dané body \(A = [0;0;1]\) ;
\(B = [2;0;-1]\) a
\(S = [2;1;0]\).
Určte parametrické vyjadrenie priamky, ktorá je s priamkou
\(AB\) stredovo súmerná
podľa bodu \(S\).
\(\begin{aligned}[t] x& =\phantom{ -}4 + t, &
\\y& =\phantom{ -}2,
\\z& = -1 - t;\ t\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& = 2 + 2m, &
\\y& = 2 +\phantom{ 2}m,
\\z& = 1 -\phantom{ 2}m;\ m\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& =\phantom{ -}4 + 2k, &
\\y& =\phantom{ -}2 +\phantom{ 2}k,
\\z& = -1 -\phantom{ 2}k;\ k\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& = -2 + 2u, &
\\y& =\phantom{ -}2,
\\z& =\phantom{ -}1 - 2u;\ u\in \mathbb{R}
\\ \end{aligned}\)