Chapter 12.5, Problem 82E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Give a geometric description of each family of planes.

(a) *x* + *y* + *z* = *c*

(b) *x* + *y* + *cz* = 1

(c) *y* cos *θ* + *z* sin *θ* = 1

(a)

To determine

**To explain:** The geometric description of the plane

Explanation

**Given data:**

Write the given plane equation as follows.

**Formula used:**

Write the expression to find equation of the plane through the point

Write the family of planes for the equation

(b)

To determine

**To explain:** The geometric description of the plane

(c)

To determine

**To explain:** The geometric description of the plane

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