Line L, is parallel to vector a = -31 +23+4k and passes through a point A(7, 6, 2) and line L₂ is parallel to a vector 3=2i+j+3k and passes through a point B(5, 3, 4). Now a line L3 parallel to a vector 7=21-21-k intersects the lines L, and L₂ at points C and D, respectively, then find |CD|.
Line L, is parallel to vector a = -31 +23+4k and passes through a point A(7, 6, 2) and line L₂ is parallel to a vector 3=2i+j+3k and passes through a point B(5, 3, 4). Now a line L3 parallel to a vector 7=21-21-k intersects the lines L, and L₂ at points C and D, respectively, then find |CD|.
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 7E
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Question
![ILLUSTRATION 4.17
Line L, is parallel to vector a = -3î+2ĵ+4k and passes through a point A(7, 6, 2) and line L₂ is parallel
to a vector 3=2î+j+3k and passes through a point B(5, 3, 4). Now a line L3 parallel to a vector
7 = 21-23-k intersects the lines L, and L2 at points C and D, respectively, then find |CD|.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F466ccca1-fcde-49c6-abde-905e9419edc1%2F44bcc67e-78d8-4088-80fe-0010d0e5dd0a%2Fbxtpkr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ILLUSTRATION 4.17
Line L, is parallel to vector a = -3î+2ĵ+4k and passes through a point A(7, 6, 2) and line L₂ is parallel
to a vector 3=2î+j+3k and passes through a point B(5, 3, 4). Now a line L3 parallel to a vector
7 = 21-23-k intersects the lines L, and L2 at points C and D, respectively, then find |CD|.
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