Parte:
Project ID:
9000106301
Accepted:
1
Easy:
1
Halla la recta $k$ que es perpendicular al plano \(\alpha \)
\[
\alpha \colon 2x + y - z - 5 = 0
\]
y que pasa por el punto \(A = [0;0;1]\).
\(\begin{aligned}[t] x& =\phantom{ 1 -} 2t, &
\\y& =\phantom{ 1 -}\ t,
\\z& = 1 - t;\ t\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& =\phantom{ -}2 + 2m, &
\\y& =\phantom{ -}1 +\phantom{ 2}m,
\\z& = -1 -\phantom{ 2}m;\ m\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& =\phantom{ -}2k, &
\\y& =\phantom{ -2}k,
\\z& = -\phantom{2}k;\ k\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& =\phantom{ -}2, &
\\y& =\phantom{ -}1,
\\z& = -1 + u;\ u\in \mathbb{R}
\\ \end{aligned}\)