Answer: Equations of planes Find an equation of the

Chapter 12, Problem 18E

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QUESTION:

Equations of planes  Find an equation of the following planes.

The plane passing through the points (5,3,1),(1,3,-5), and (-1,3,1)

Questions & Answers

QUESTION:

Equations of planes  Find an equation of the following planes.

The plane passing through the points (5,3,1),(1,3,-5), and (-1,3,1)

ANSWER:

Solution 18E

Step 1 of 2:

In this problem we need to find an equation of the plane passing through the points ( 5,3,1) , ( 1,3,-5) and (-1 ,3,1).

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

   

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