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
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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:
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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