Consider the lines x = -1+ 2s х — 5 l1 : 3 - 2 and l2 : y = s 4 -2 z = 5+ s а. Find the coordinates of the point of intersection P of l1 and l2. b. Find the symmetric equations of the line through P that is perpendicular to both l1 and l2. с. Find the point-normal equation of the plane containing both l1 and l2.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Consider the lines
x = -1+ 2s
3 - Z
х — 5
l1 :
2
Y
and l2 : y = s
4
2
z = 5+ s
а.
Find the coordinates of the point of intersection P of l1 and l2.
b. Find the symmetric equations of the line through P that is perpendicular to both l1 and l2.
С.
Find the point-normal equation of the plane containing both lı and l2.
Transcribed Image Text:Consider the lines x = -1+ 2s 3 - Z х — 5 l1 : 2 Y and l2 : y = s 4 2 z = 5+ s а. Find the coordinates of the point of intersection P of l1 and l2. b. Find the symmetric equations of the line through P that is perpendicular to both l1 and l2. С. Find the point-normal equation of the plane containing both lı and l2.
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