Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. L₁: x = 9 + 6t, y = 12 - 3t, z = 3 + 9t L₂: x = 1 + 4s, y = 3 - 2s, z = 4 + 5s parallel skew O intersecting If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting.
1
4₁: x =
=
9 + 6t, y 12 3t, z = 3 + 9t
L₂: x = 1 + 4s, y = 3 – 2s, z = 4 + 5s
parallel
skew
intersecting
If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)
Transcribed Image Text:Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. 1 4₁: x = = 9 + 6t, y 12 3t, z = 3 + 9t L₂: x = 1 + 4s, y = 3 – 2s, z = 4 + 5s parallel skew intersecting If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)
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