   Chapter 11, Problem 48RE

Chapter
Section
Textbook Problem

# Finding an Equation of a PlaneIn Exercises 41–44, find an equation of the plane with the given characteristics.The plane passes through the point ( − 2 , 3 , 1 ) and is perpendicular to n = 3 i − j + k .

To determine

To calculate: For the plane passes through the point (2,3,1) and is perpendicular to n=3ij+k find the equation of a plane.

Explanation

Given:

The plane passes through the point (2,3,1) and is perpendicular to n=3ij+k.

Formula used:

The plane containing the point a,b,c and having anormal vector n=a,b,c can be shown by the equation of plane:

a(xx1)+b(yy1)+c(zz1)=0

Which can be written in general form as: ax+by+cz+d=0.

Calculation:

Normal vector is: n=3ij+k

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