Let L₁ be the line passing through the points Q1=(-4, 2, -4) and Q2-(-1, 0, -6) and let L2 be the line passing through the point P₁=(0, 6, -15) with direction vector a-[2, -4, 2]T. Determine whether L₁ and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0, 0, 0)
Let L₁ be the line passing through the points Q1=(-4, 2, -4) and Q2-(-1, 0, -6) and let L2 be the line passing through the point P₁=(0, 6, -15) with direction vector a-[2, -4, 2]T. Determine whether L₁ and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0, 0, 0)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
Related questions
Question
![Let L₁ be the line passing through the points Q1=(-4, 2, -4) and Q2-(-1, 0, -6) and let L2
be the line passing through the point P₁=(0, 6, -15) with direction vector a-[2, -4, 2]T.
Determine whether L₁ and L2 intersect. If so, find the point of intersection Q.
The lines intersect at the following point Q:
Q=(0,0,0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb5fc8bb-c5ed-4c1c-8fd1-7dec9314987e%2F03518bfc-b566-44ce-8deb-da7322c67569%2Fzkr51ks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let L₁ be the line passing through the points Q1=(-4, 2, -4) and Q2-(-1, 0, -6) and let L2
be the line passing through the point P₁=(0, 6, -15) with direction vector a-[2, -4, 2]T.
Determine whether L₁ and L2 intersect. If so, find the point of intersection Q.
The lines intersect at the following point Q:
Q=(0,0,0)
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