A

9000106606

Level: 
A
Determine whether the following two lines are identical, parallel, intersecting or skew. \[ \begin{aligned}[t] p\colon x& = 2t, & \\y & = 3 - t, \\z & = 4 - t,\ t\in \mathbb{R} \\ \end{aligned}\qquad \qquad \begin{aligned}[t] q\colon x& = 2 - 2s, & \\y & = -1 + s, \\z & = 6 + 3s,\ s\in \mathbb{R} \\ \end{aligned} \]
skew lines
parallel lines, not identical
intersecting lines
identical lines

9000106607

Level: 
A
Determine whether the following two lines are identical, parallel, intersecting or skew. \[\begin{aligned} p\colon &x = 2, &q\colon &x =\phantom{ -}1 -\phantom{ 3}s, & & & & \\ &y = 3 -\phantom{ 2}t, & &y =\phantom{ -}2 + 3s, & & & & \\ &z = 3 + 2t,\ t\in \mathbb{R}, & &z = -1 - 2s,\ s\in \mathbb{R} & & & & \end{aligned}\]
skew lines
parallel lines, not identical
intersecting lines
identical lines

9000106608

Level: 
A
Determine whether the following two lines are identical, parallel, intersecting or skew. \[\begin{aligned} p\colon\, &x = 2, &q\colon\, &x =\phantom{ 1} - s, & & & & \\ &y = 2 + t, & &y = 4, & & & & \\ &z = 3,\ t\in \mathbb{R}, & &z = 1 - s,\ s\in \mathbb{R} & & & & \end{aligned}\]
intersecting lines
parallel lines, not identical
skew lines
identical lines

9000106609

Level: 
A
Determine whether two lines are identical, parallel, intersecting or skew. The first line is the line passes through the points \(A = [3,-2,1]\) and \(B = [0,7,7]\) and the second line is the line passes through the points \(C = [5,-8,-3]\) and \(D = [6,-11,-5]\).
identical lines
parallel lines, not identical
intersecting lines
skew lines

9000106610

Level: 
A
Determine whether two lines are identical, parallel, intersecting or skew. The first line is the line passes through the points \(A = [1,-4,2]\) and \(B = [3,0,0]\) and the second line is the line passes through the points \(C = [3,-5,5]\) and \(D = [-1,-3,-1]\).
intersecting lines
parallel lines, not identical
identical lines
skew lines