38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are skew. If they intersect, find the intersection. (a) ri(t) = (5+t, 1-t, 8-3t), r₂(t) = (1+2t, -4+t, 8-2t) intersect: (1,-1,2) Hint: Write r2(t) as r2(s) = (1+ 28, -4+8, 8- 28)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are skew. If they intersect,
find the intersection.
(a) r₁(t) = (5+t, 1-t, 8-3t), r₂(t) = (1 +2t, −4+t, 8-2t) intersect: (1,-1,2)
Hint: Write r2(t) as r2(s) = (1+28, -4+8, 8-28)
(b)=(
Transcribed Image Text:38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are skew. If they intersect, find the intersection. (a) r₁(t) = (5+t, 1-t, 8-3t), r₂(t) = (1 +2t, −4+t, 8-2t) intersect: (1,-1,2) Hint: Write r2(t) as r2(s) = (1+28, -4+8, 8-28) (b)=(
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