5. Given the line {:[7,3,1]+t[−1,3,1], determine if the following lines are parallel, perpendicular, or coincident to it. a) l₂:[2,−3,4]+t[5,1,2] Perpendicular b) l3: x=1+t y=21-3t z=7-t Coincident c) " " l4:[5,3,2]+t[-2,6,2] Parallel
5. Given the line {:[7,3,1]+t[−1,3,1], determine if the following lines are parallel, perpendicular, or coincident to it. a) l₂:[2,−3,4]+t[5,1,2] Perpendicular b) l3: x=1+t y=21-3t z=7-t Coincident c) " " l4:[5,3,2]+t[-2,6,2] Parallel
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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![5. Given the line l:[7,3,1]+t[−1,3,1], determine if the following lines are
parallel, perpendicular, or coincident to it.
a) ₂:[2,-3,4]+t[5,1,2] Perpendicular
b) {3: x=1+t, y=21-3t, z=7-t Coincident
c) 4:[5,3,2]+t[-2,6,2] Parallel
d) {5:[3,7,-2]+t[4,6,1] None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc601785-c94a-44dd-ad02-ede9ffeff37c%2Ff13a7d2c-c4c1-40db-8793-a5b3d51ebda2%2Fieu2pj4_processed.png&w=3840&q=75)
Transcribed Image Text:5. Given the line l:[7,3,1]+t[−1,3,1], determine if the following lines are
parallel, perpendicular, or coincident to it.
a) ₂:[2,-3,4]+t[5,1,2] Perpendicular
b) {3: x=1+t, y=21-3t, z=7-t Coincident
c) 4:[5,3,2]+t[-2,6,2] Parallel
d) {5:[3,7,-2]+t[4,6,1] None of these
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