2) determine whether or not the given pair of lines intersect. Also find equation of the plane containing the pair of line L₁: (x, y, z) = (-3-4t, 2+2t, 4 + t) and L₂: (x, y, z) = (2 + 2t, 2 + t, 2 - t). 3) are the two equation of the plane 2x + y + z = 1 and 4x + 2y + 2z = 3 parallel.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
2) determine whether or not the given pair of lines intersect.
Also find equation of the plane containing the pair of line
L₁: (x, y, z) = (-3-4t, 2+2t, 4+t) and L₂: (x, y, z) =
(2+2t, 2+t, 2 - t).
3) are the two equation of the plane 2x + y + z = 1 and 4x +
2y + 2z = 3 parallel.
Transcribed Image Text:2) determine whether or not the given pair of lines intersect. Also find equation of the plane containing the pair of line L₁: (x, y, z) = (-3-4t, 2+2t, 4+t) and L₂: (x, y, z) = (2+2t, 2+t, 2 - t). 3) are the two equation of the plane 2x + y + z = 1 and 4x + 2y + 2z = 3 parallel.
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