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) r¡ = (5t, 2t – 1,3t – 3) and r2 = (t – 7, –t + 6,1 – 10) b) r1 = (4t, –3t + 1,t – 4) and r2 = (21 – 3, -t, -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: DNE

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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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) r¡ = (5t, 2t – 1,3t – 3) and r2 = (t – 7,–t + 6,1 – 10)
b) r¡ = (41, –3t + 1,1 – 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:
(b) the equation of the plane:
DNE
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) r¡ = (5t, 2t – 1,3t – 3) and r2 = (t – 7,–t + 6,1 – 10) b) r¡ = (41, –3t + 1,1 – 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: (b) the equation of the plane: DNE
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