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 1,3t 3) and r₂ = (t−6, -t + 5, t - 9)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
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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, 3t 3) and r₂ = (t -6, -t + 5,t - 9)
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:
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, 3t 3) and r₂ = (t -6, -t + 5,t - 9) 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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