Given two lines L1 : x =t+1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1, suppose a plane H is parallel to both Li and L2. Moreover, H passes through the point (0, 1,0). Find an equation of H.

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
Section10.6: The Three-dimensional Coordinate System
Problem 19E: In Exercises 19 and 20, use the x, y, and z-intercepts to sketch the plane for each equation....
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Given two lines
L1 :x =t+ 1, y = 3t + 1, z = 2t – 1,
and
L2 : x = 2t – 2, y = 2t + 3, z =t +1,
suppose a plane H is parallel to both L1 and L2. Moreover, H passes through the point
(0, 1,0). Find an equation of H.
Transcribed Image Text:Given two lines L1 :x =t+ 1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1, suppose a plane H is parallel to both L1 and L2. Moreover, H passes through the point (0, 1,0). Find an equation of H.
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