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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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).
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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