Level:
Project ID:
9000106307
Accepted:
1
Clonable:
0
Easy:
0
Given points \(A = [0,0,1]\),
\(B = [2,0,-1]\) and
\(S = [2,1,0]\),
find the parametric equations of the image of the line
\(AB\) in a point reflection
about the point \(S\).
\(\begin{aligned}[t] x& =\phantom{ -}4 + t, &
\\y& =\phantom{ -}2,
\\z& = -1 - t,\ t\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& = 2 + 2m, &
\\y& = 2 +\phantom{ 2}m,
\\z& = 1 -\phantom{ 2}m,\ m\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& =\phantom{ -}4 + 2k, &
\\y& =\phantom{ -}2 +\phantom{ 2}k,
\\z& = -1 -\phantom{ 2}k,\ k\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] x& = -2 + 2u, &
\\y& =\phantom{ -}2,
\\z& =\phantom{ -}1 - 2u,\ u\in \mathbb{R}
\\ \end{aligned}\)