Let Lz be the line passing through the points Q1=(-2, -4, 3) and Q2=(1, -2, 4) and let L2 be the line passing through the point P=(-14, -11, -2) with direction vector d-[4, 2, 2]". Determine whether L, and L, intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P, so the resulting lines do intersect.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let Lz be the line passing through the points Q1=(-2, -4, 3) and Q2=(1, -2, 4) and let L2 be
the line passing through the point P=(-14, -11, -2) with direction vector d-[4, 2, 2]".
Determine whether L, and L, intersect. If so, find the point of intersection Q. If not, find a value
for the z-coordinate of P, so the resulting lines do intersect.
Transcribed Image Text:Let Lz be the line passing through the points Q1=(-2, -4, 3) and Q2=(1, -2, 4) and let L2 be the line passing through the point P=(-14, -11, -2) with direction vector d-[4, 2, 2]". Determine whether L, and L, intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P, so the resulting lines do intersect.
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