Let I be the line passing through the points Q₁=(-4,-3, 3) and Q₂-(-1, -6, -6) and let L₂ be the line passing through the point P₁-(1,-16, -22) with direction vector -[-1, -3, 1]. Determine whether L₂ and L₂ intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P₂ so the resulting lines do intersect The lines intersect at the following point Q: The lines do not intersect, but would if P₂ were:
Let I be the line passing through the points Q₁=(-4,-3, 3) and Q₂-(-1, -6, -6) and let L₂ be the line passing through the point P₁-(1,-16, -22) with direction vector -[-1, -3, 1]. Determine whether L₂ and L₂ intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P₂ so the resulting lines do intersect The lines intersect at the following point Q: The lines do not intersect, but would if P₂ were:
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
Related questions
Question
![Let I be the line passing through the points Q₁=(-4, −3, 3) and Q₂−(−1, -6, -6) and let L₂ be the line passing through the point P₁-(1, -16, -22) with direction vector -[-1, -3, 1]³. Determine
whether L₁ and L₂ intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P₁ so the resulting lines do intersect.
<Select one>
<Select one>
The lines intersect at the following point Q:
The lines do not intersect, but would if P₂ were:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58d48065-da4d-48be-8659-09c3b6098ea5%2F16ecf919-e47b-440e-9308-40a3cfcc0dd7%2F2secci_processed.png&w=3840&q=75)
Transcribed Image Text:Let I be the line passing through the points Q₁=(-4, −3, 3) and Q₂−(−1, -6, -6) and let L₂ be the line passing through the point P₁-(1, -16, -22) with direction vector -[-1, -3, 1]³. Determine
whether L₁ and L₂ intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P₁ so the resulting lines do intersect.
<Select one>
<Select one>
The lines intersect at the following point Q:
The lines do not intersect, but would if P₂ were:
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