Solution Found!
Solved: Equations of planes Find an equation of the
Chapter 12, Problem 17E(choose chapter or problem)
QUESTION:
Equations of planes Find an equation of the following planes.
The plane passing through the points (2,-1,4),(1,1,-1), and (-4,1,1)
Questions & Answers
QUESTION:
Equations of planes Find an equation of the following planes.
The plane passing through the points (2,-1,4),(1,1,-1), and (-4,1,1)
ANSWER:Solution 17EStep 1:In this problem we need to find an equation of the plane passing through the points ( 2 , -1 , 4) , ( 1 , 1 ,-1) and (-4 , 1,1).EQUATION OF A PLANE PASSING THROUGH THREE POINTS :Let ,and be non collinear points .The line passing through can be described as the set of all points ( x , y , z) that satisfies the following determinant equations