Suppose the symmetric equations of lines l1 and l2 are = 2 - y = z and r = -1, 3 respectively. (a) Show that l and l2 are skew lines. (b) Find the equation of the plane perpendicular to l1 and l2 that contains the point (-1,-1,-1).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 23E: Use the result in Exercise 20 to find the equation of the line that contains 5,-1 and is parallel to...
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x - 1
y - 2
. Suppose the symmetric equations of lines l1 and l2 are
= 2 – y = z and a = -1,
3
respectively.
(a) Show that l, and l, are skew lines.
(b) Find the equation of the plane perpendicular to li and l2 that contains the point (-1,-1,-1).
Transcribed Image Text:x - 1 y - 2 . Suppose the symmetric equations of lines l1 and l2 are = 2 – y = z and a = -1, 3 respectively. (a) Show that l, and l, are skew lines. (b) Find the equation of the plane perpendicular to li and l2 that contains the point (-1,-1,-1).
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