In each case, determine whether or not the lines have a single point of intersection. If they do, give an equation of a plane containing them. a) r₁ = (5t, 2t - 1,2t − 2) and r₂ = (t − 6, -t + 5, t - 8) b) r₁ = (4t, -4t + 1,1 − 5) and r₂ = (2t-3,-1,-t-1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if lines do not intersect.)
In each case, determine whether or not the lines have a single point of intersection. If they do, give an equation of a plane containing them. a) r₁ = (5t, 2t - 1,2t − 2) and r₂ = (t − 6, -t + 5, t - 8) b) r₁ = (4t, -4t + 1,1 − 5) and r₂ = (2t-3,-1,-t-1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if lines do not intersect.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In each case, determine whether or not the lines have a single point of intersection. If they do, give an equation of a plane
containing them.
a) r₁ = (5t, 2t 1,2t - 2) and r₂ = (t − 6, -t + 5,t − 8)
b) r₁ = (4t, -4t+1, t 5) and r₂ =
-
(2t -3, -t, -t - 1)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if lines do not intersect.)
(a) the equation of the plane:
(b) the equation of the plane:
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