17. Two lines L₁ : x=3+2t, y=4-t, z = 1+ 3t and L₂ : x = 1 + 4s, y = 3-2s, z = 4 + 5s. (a) Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersect (b) Determine the point of intersection, if any, between L₁ and the xy-plane.
17. Two lines L₁ : x=3+2t, y=4-t, z = 1+ 3t and L₂ : x = 1 + 4s, y = 3-2s, z = 4 + 5s. (a) Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersect (b) Determine the point of intersection, if any, between L₁ and the xy-plane.
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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17. Two lines L₁ : x = 3 + 2t, y = 4 — t, z = 1 + 3t and L₂ : x = 1 + 4s, y = 3-2s, z = 4+5s.
(a) Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. If they intersect, find the point of intersection.
(b) Determine the point of intersection, if any, between L₁ and the xy-plane.
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