Given the plane л: 2x + y - 3z - 2 = 0, and the lines y-1 x+1 = 22² =2=-4 and ₂: *+¹ = y - 2 2 3 2 Z-3 4 Find a set of parametric equations of the line containing the point P(1, 0, −2) and which is perpendicular to . ) Find the equation of the plane containing ₁ and 2. Find the distance between ₁ and ₂. l₁: 2 - x=2=

Trigonometry (MindTap Course List)
10th Edition
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Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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Given the plane л: 2x + y - 3z - 2 = 0, and the lines
Z-4
l₁: 2 - x =
x=¹= and ₂: *+¹=y-2=2-3
2:
2
x+1
3
4
a) Find a set of parametric equations of the line containing the point P(1,0,−2) and
which is perpendicular to π.
b) Find the equation of the plane containing ₁ and ₂.
c) Find the distance between ₁ and ₂.
Transcribed Image Text:Given the plane л: 2x + y - 3z - 2 = 0, and the lines Z-4 l₁: 2 - x = x=¹= and ₂: *+¹=y-2=2-3 2: 2 x+1 3 4 a) Find a set of parametric equations of the line containing the point P(1,0,−2) and which is perpendicular to π. b) Find the equation of the plane containing ₁ and ₂. c) Find the distance between ₁ and ₂.
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