   Chapter 7.2, Problem 7E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Sketching a Plane in Space In Exercises 1-12, find the x-, y-, and z-intercepts of the plane. Then sketch the plane. See Example 1. z = 8

To determine

To calculate: The x-intercept, y-intercept and z-intercept of the plane, z=8 and sketch the plane.

Explanation

Given information:

The equation of plane is z=8.

Calculation:

Consider equation of plane,

z=8

The z-intercept of the plane, z=8 is (0,0,8).

Since plane, z=8 parallel to x-y plane but perpendicular to y-z and z-x planes.

Therefore, the plane, z=8 intersect at x-axis at infinity.

The x-intercept of the plane, z=8 is (,0,0).

Since plane, z=8 parallel to x-y plane but perpendicular to y-z and z-x planes.

Therefore, the plane, z=8 intersect at y-axis at infinity.

The y-intercept of the plane, z=8 is (0,,0)

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