I= -1- 4t Consider the lines l :{y = 4+ 4t z = 7+ 8t (r= 4+3s , teR and l2:{ y = 1-s , s€ R. : = 5+ 2s (a) Show that l and l2 intersect at a right angle and find the point of intersection. (b) Find a scalar equation of the plane spanned by l4 and l.- (c) Find parametric equations of the line perpendicular to both l and lz and passing through the point Po(-1, –1,2).
I= -1- 4t Consider the lines l :{y = 4+ 4t z = 7+ 8t (r= 4+3s , teR and l2:{ y = 1-s , s€ R. : = 5+ 2s (a) Show that l and l2 intersect at a right angle and find the point of intersection. (b) Find a scalar equation of the plane spanned by l4 and l.- (c) Find parametric equations of the line perpendicular to both l and lz and passing through the point Po(-1, –1,2).
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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![x = -1 - 4t
11. Consider the lines lh :{y = 4+ 4t
z = 7+ 8t
I = 4 + 3s
, teR and l2 : {y = 1- s
z = 5+ 2s
, sER.
(a) Show that l1 and lz intersect at a right angle and find the point of intersection.
(b) Find a scalar equation of the plane spanned by l and lạ.
(c) Find parametric equations of the line perpendicular to both lh and lz and passing
through the point Po(-1, –1, 2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5221596e-f841-4b87-9f62-5dba2f3a1758%2F8e8842b0-95b3-4690-bc86-9367b47a31bf%2Fc795hi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x = -1 - 4t
11. Consider the lines lh :{y = 4+ 4t
z = 7+ 8t
I = 4 + 3s
, teR and l2 : {y = 1- s
z = 5+ 2s
, sER.
(a) Show that l1 and lz intersect at a right angle and find the point of intersection.
(b) Find a scalar equation of the plane spanned by l and lạ.
(c) Find parametric equations of the line perpendicular to both lh and lz and passing
through the point Po(-1, –1, 2).
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