The planes α and β in R 3 are given via equations α : x + 2y − z − 2 = 0 and β : 2x − 2y + z − 1 = 0 . Their intersection α ∩ β is the line l. Write down the parametric equa- tion of the line l in the form ~x = ~x0 + t~v where t is a real parameter and ~x0, ~v are given vectors. Please show full work! Thank you!
The planes α and β in R 3 are given via equations α : x + 2y − z − 2 = 0 and β : 2x − 2y + z − 1 = 0 . Their intersection α ∩ β is the line l. Write down the parametric equa- tion of the line l in the form ~x = ~x0 + t~v where t is a real parameter and ~x0, ~v are given vectors. Please show full work! Thank you!
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
The planes α and β in R
3 are given via equations
α : x + 2y − z − 2 = 0
and
β : 2x − 2y + z − 1 = 0 .
Their intersection α ∩ β is the line l. Write down the parametric equa-
tion of the line l in the form
~x = ~x0 + t~v
where t is a real parameter and ~x0, ~v are given vectors.
Please show full work!
Thank you!
Transcribed Image Text:The planes a and ß in R³ are given via equations
α:
x+2y-z-2=0
and
B: 2x-2y+z−1=0.
Their intersection anß is the line 1. Write down the parametric equa-
tion of the line 7 in the form
x = xo + tv
where t is a real parameter and o, are given vectors.
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