2. Consider the points P = (3, 2, –1), Q = (-1,1, 1), and R = (-3,0, 2). %3D (a) Find parametric and cartesian equations for the plane P1 that goes through the three points. (b) Find cartesian equations for the plane P2 that goes through the point P and is perpendicular to both P1 and to the plane with equation a- means that a normal vector to P2 needs to be orthogonal to both a normal vector of P1 and to a normal vector of the plane with equation x - 4y + 2z = 4. (Hint: the perpendicularity condition 4y + 2z = 4. And you do know how to find a vector that is orthogonal to two other vectors.)
2. Consider the points P = (3, 2, –1), Q = (-1,1, 1), and R = (-3,0, 2). %3D (a) Find parametric and cartesian equations for the plane P1 that goes through the three points. (b) Find cartesian equations for the plane P2 that goes through the point P and is perpendicular to both P1 and to the plane with equation a- means that a normal vector to P2 needs to be orthogonal to both a normal vector of P1 and to a normal vector of the plane with equation x - 4y + 2z = 4. (Hint: the perpendicularity condition 4y + 2z = 4. And you do know how to find a vector that is orthogonal to two other vectors.)
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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Transcribed Image Text:Consider the points P = (3, 2, –1), Q = (-1,1, 1), and R = (-3,0, 2).
(a) Find parametric and cartesian equations for the plane Pi that goes through the three points.
(b) Find cartesian equations for the plane P2 that goes through the point P and is perpendicular to
both P1 and to the plane with equation x – 4y + 2z = 4. (Hint: the perpendicularity condition
means that a normal vector to P2 needs to be orthogonal to both a normal vector of P1 and to a
normal vector of the plane with equation x – 4y + 2z = 4. And you do know how to find a vector
that is orthogonal to two other vectors.)
-
-
2.
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