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 = (-6,-t + 5,1-9) b) r₁ = (3r.-3t+1,1-4) and r₂ = (21-2.-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: (b) the equation of the plane:
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 = (-6,-t + 5,1-9) b) r₁ = (3r.-3t+1,1-4) and r₂ = (21-2.-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: (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
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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 - 1,3t-3) and r₂ = (-6, -t + 5,1-9)
b) r₁ = (31.-3t+1,1-4) and r₂ = (21-2,-1,-1-1)
(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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