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Let L₁ be the line passing through the points Q₁(-4,-3, 2) and Q₂(-7, -5, -1) and let L₂ be the line passing through the point P₁(-4,-4, 14) with direction vector d=[2, 2, -6]. Determine whether L₁ and L2 intersect. If so, find the point of intersection Q.

Let L₁ be the line passing through the points Q₁(-4,-3, 2) and Q₂(-7, -5, -1) and let L₂ be the line passing through the point P₁(-4,-4, 14) with direction vector d=[2, 2, -6]. Determine whether L₁ and L2 intersect. If so, find the point of intersection Q.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CT
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Let L₁ be the line passing through the points Q₁(-4, −3, 2) and Q₂(−7, −5, −1) and let L₂ be the line passing through the point P₁(−4, −4, 14) with direction vector d=[2, 2, −6]¹. Determine whether L₁ and L₂ intersect. If so, find the point of intersection Q. <Select one>
Transcribed Image Text:Let L₁ be the line passing through the points Q₁(-4, −3, 2) and Q₂(−7, −5, −1) and let L₂ be the line passing through the point P₁(−4, −4, 14) with direction vector d=[2, 2, −6]¹. Determine whether L₁ and L₂ intersect. If so, find the point of intersection Q. <Select one>
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