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 − 7, -t + 6, t - 9) - b) r₁ = (4t, -3t + 1, t - 4) 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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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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 − 7, −t + 6, t – 9)
b) r₁ = (4t, −3t + 1, t − 4) 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:
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 − 7, −t + 6, t – 9) b) r₁ = (4t, −3t + 1, t − 4) 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:
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