If ?1 is the line through ?(1,2,7) and ?(−2,3, −4) and ?2 is the line through ?(2, −1,4) and ?(5,7, −3), prove that ?1 and ?2 are skew lines (lines that do not lie in one plane) and find the distance between them.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.3: Proving Lines Parallel
Problem 35E
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If ?1 is the line through ?(1,2,7) and ?(−2,3, −4) and ?2 is the line through ?(2, −1,4) and ?(5,7, −3), prove that ?1 and ?2 are skew lines (lines that do not lie in one plane) and find the distance between them.

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