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 = b) r₁ = (3t, -4t + 1,t— 5) and r₂ = (2t — 2, –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: (t-6, -t + 5,t - 8) (b) the equation of the plane:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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 =
b) r₁ =
(3t, -4t + 1,t— 5) and r₂ = (2t — 2, –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:
(t-6, -t + 5,t - 8)
(b) the equation of the plane:
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 = b) r₁ = (3t, -4t + 1,t— 5) and r₂ = (2t — 2, –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: (t-6, -t + 5,t - 8) (b) the equation of the plane:
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