Let L1 be the line through the points ( 1 , 2 , 6 ) and ( 2 , 4 , 8 ). And let L2 be the line of intersection of the planes π1 and π2 , where π1 is the plane ( x − y + 2z + 1 = 0 ) and π2 is the plane through the points ( 3 , 2 , −1 ) ( 0 , 0 , 1 ) and ( 1 , 2 , 1 ). Calculate the distance between and L1 and L2 .
Let L1 be the line through the points ( 1 , 2 , 6 ) and ( 2 , 4 , 8 ). And let L2 be the line of intersection of the planes π1 and π2 , where π1 is the plane ( x − y + 2z + 1 = 0 ) and π2 is the plane through the points ( 3 , 2 , −1 ) ( 0 , 0 , 1 ) and ( 1 , 2 , 1 ). Calculate the distance between and L1 and L2 .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let L1 be the line through the points ( 1 , 2 , 6 ) and ( 2 , 4 , 8 ). And let L2 be the line
of intersection of the planes π1 and π2 , where π1 is the plane ( x − y + 2z + 1 = 0 ) and π2
is the plane through the points ( 3 , 2 , −1 ) ( 0 , 0 , 1 ) and ( 1 , 2 , 1 ). Calculate the distance
between and L1 and L2 .
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