two lines have equations L₁: (x,y,z) = (0,1,3) + (1,-1,-2) and L2: (x,y,z) = (1+2+, -1--1-2+) a) the lines Intersect, Determine the Point of inter Section b) Give an equation in normal form for the Plane that contains both lines c) Determine the smallest angle between L1 and the Plane : y+z = 5
two lines have equations L₁: (x,y,z) = (0,1,3) + (1,-1,-2) and L2: (x,y,z) = (1+2+, -1--1-2+) a) the lines Intersect, Determine the Point of inter Section b) Give an equation in normal form for the Plane that contains both lines c) Determine the smallest angle between L1 and the Plane : y+z = 5
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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Question
![two lines have equations
L₁: (x,y,z) = (0,1,3) + (1,-1,-2) and
L2: (x,y,z) = (1+2+, -1--1-2+)
a) the lines Intersect, Determine the Point of
inter Section
b) Give an equation in normal form for the Plane
that contains both lines
c) Determine the smallest angle between L1 and
the Plane : y+z = 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda98d4a0-400f-417f-b02f-02e739b89e55%2F51fa4642-13cc-4dc6-bb8e-6bdd219266c0%2Fi7sc7ia_processed.png&w=3840&q=75)
Transcribed Image Text:two lines have equations
L₁: (x,y,z) = (0,1,3) + (1,-1,-2) and
L2: (x,y,z) = (1+2+, -1--1-2+)
a) the lines Intersect, Determine the Point of
inter Section
b) Give an equation in normal form for the Plane
that contains both lines
c) Determine the smallest angle between L1 and
the Plane : y+z = 5
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