Let L1 be the line through the points P(1,0,2) and Q(2,1, 1), and L2 be the line defined by the parametric equations I = 2+t, y = 3-t, z = -1+t, te R. If L is the line through the point of intersection of L1 and L2, and is perpendicular to both L1 and L2, which of the following is a parametrization of L ? I = 3, y = 2 – 2t, z= 2t, t ER I = 3, y = 2+ 2t, z= 2t, t e R I = 3t, y = 2 – t, z= 2t, t eR I = 3t, y = 2+ 2t, z = 2t, t eR I = 3+t, y =2 – 2t, z = 1+ 2t, t eR

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Which of the following is the parametrization of L? 

Let L1 be the line through the points P(1,0,2)
and Q(2,1,1), and L2 be the line defined by the
parametric equations r = 2+t, y = 3– t, z = -1+t,
te R. If L is the line through the point of intersection
of L1 and L2, and is perpendicular to both L1 and
L2, which of the following is a parametrization of L ?
x = 3, y = 2 – 2t, z = 2t, te R
x = 3, y = 2+ 2t, z = 2t, te R
I = 3t, y = 2 – t, z = 2t, t ER
x = 3t, y = 2+ 2t, z = 2t, te R
6.
I = 3+t, y = 2 – 2t, z = 1+ 2t, te R
Transcribed Image Text:Let L1 be the line through the points P(1,0,2) and Q(2,1,1), and L2 be the line defined by the parametric equations r = 2+t, y = 3– t, z = -1+t, te R. If L is the line through the point of intersection of L1 and L2, and is perpendicular to both L1 and L2, which of the following is a parametrization of L ? x = 3, y = 2 – 2t, z = 2t, te R x = 3, y = 2+ 2t, z = 2t, te R I = 3t, y = 2 – t, z = 2t, t ER x = 3t, y = 2+ 2t, z = 2t, te R 6. I = 3+t, y = 2 – 2t, z = 1+ 2t, te R
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