= -14 – 5t = -5t y = 21 + 3t = 5t – 43 Given the skew lines l1 : Y = 9 – t and l2 : = 2t – 7 (a) Find a general-form equation of the plane T1 that contains l1 and is parallel to l2. Answer: (b) Find a general-form equation of the plane T2 that is perpendicular to T1 and contains l2 Answer: (c) Find the point of intersection of the plane T2 and the line l1 Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 1E
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= -14 – 5t
= -5t
and l2 :
= 9 – t
= 2t – 7
= 21+ 3t
= 5t – 43
Given the skew lines l1 :
(a) Find a general-form equation of the plane T1 that contains lį and is parallel to l2.
Answer:
(b) Find a general-form equation of the plane T2 that is perpendicular to T1 and contains l2
Answer:
(c) Find the point of intersection of the plane T2 and the line l1
Answer:
Can you see the geometric significance of this point?
Transcribed Image Text:= -14 – 5t = -5t and l2 : = 9 – t = 2t – 7 = 21+ 3t = 5t – 43 Given the skew lines l1 : (a) Find a general-form equation of the plane T1 that contains lį and is parallel to l2. Answer: (b) Find a general-form equation of the plane T2 that is perpendicular to T1 and contains l2 Answer: (c) Find the point of intersection of the plane T2 and the line l1 Answer: Can you see the geometric significance of this point?
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