By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel. If two planes intersect in a line L, then Lis parallel to the cross product of the normals to the two planes.

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
Section10.1: The Rectangular Coordinate System
Problem 35E: Determine the area of ABC if A=2,1,B=5,3,andC is the reflection of the B across the x-axis.
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By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel.
If two planes intersect in a line L, then Lis parallel to the cross product of the normals to the two planes.
Transcribed Image Text:By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel. If two planes intersect in a line L, then Lis parallel to the cross product of the normals to the two planes.
Define the line Lo to be x = xo + at, y = Yo + bt, z = %0 + ct. If Lo passes through the origin, then the
vectors (a. b, c) and (x0, Yo, zo) are parallel.
Transcribed Image Text:Define the line Lo to be x = xo + at, y = Yo + bt, z = %0 + ct. If Lo passes through the origin, then the vectors (a. b, c) and (x0, Yo, zo) are parallel.
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