that Let P be the point (1,0,2). Consider the plane through the points A= (3,4,-1), B= (1,-3,3) and (= (1,20). Soej Find a vector plane that goes through the point P and is parallel to the plane that goes through the points A, B and C. :) Find a point-normal equation for this plane

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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2. Let P be the point (1,0,2). Consider the plane
through the points A=(3,4,-1),
B= (1,-3,3) and (= (1,20).
that
Soes
a) Find a vector plane that goes through the
Point P and is parellel to the plane that
goes through the points A, B and C.
b) Find
point-normal equation for this plane
(the plane that goes through P and is parallel
to the plane that goes through the points
A, B and C).
a
#Recali a "normal" of a plane is a vector
orthogonal to that 2 plane.
Transcribed Image Text:2. Let P be the point (1,0,2). Consider the plane through the points A=(3,4,-1), B= (1,-3,3) and (= (1,20). that Soes a) Find a vector plane that goes through the Point P and is parellel to the plane that goes through the points A, B and C. b) Find point-normal equation for this plane (the plane that goes through P and is parallel to the plane that goes through the points A, B and C). a #Recali a "normal" of a plane is a vector orthogonal to that 2 plane.
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