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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
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 l₁ 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 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 l₁ and 2. c) Find the distance between ₁ and ₂.
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