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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following is the parametrization of L?
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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