   Chapter 11.5, Problem 34E

Chapter
Section
Textbook Problem

# Checking Points in a Plane In Exercises 37 and 38, determine whether each point lies in the plane. 2 x + y + 3 z − 6 = 0 (a) ( 3 , 6 , − 2 ) (b) ( − 1 , 5 , − 1 ) (c) ( 2 , 1 , 0 )

(a)

To determine
Find if the provided point lies in the plane 2x+y+3z6=0.

Explanation

Given:

The equation of the plane is 2x+y+3z6=0 and the provided point is (3,6,2).

Explanation:

In order to check whether the provided point lies in the plane or not:

It should satisfy the provided point in the equation of a plane.

The equation of the plane is,

2x+y+3z6=0

And the provided point is (3,6,2).

Further now, substitute x=3,y=6 and z=2 in the equation of the plane

(b)

To determine
Find if the provided point lies in the plane 2x+y+3z6=0.

(c)

To determine
Find if the provided point lies in the plane 2x+y+3z6=0.

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