Let P be the like (-1,0,2) . Consider the plane that goes through the points A=(3,4,-1), B=(1,-3,3) and C=(1,2,0). a) find a vector equation for the plane that goes through the point P and is parallel to the plane that goes through the points A , B and C. b) find a point- normal equation for this plane ( the plane that goes through P and is patella to plane that goes through the e points A,B and C).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
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Let P be the like (-1,0,2) . Consider the plane that goes through the points A=(3,4,-1), B=(1,-3,3) and C=(1,2,0). 

a) find a vector equation for the plane that goes through the point P and is parallel to the plane that goes through the points  A , B and C. 

b) find a point- normal equation for this plane ( the plane that goes through P and is patella to plane that goes through the e points A,B and C). 

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