   Chapter 11.5, Problem 62E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Parallel Planes In Exercises 61-64, determine whether the planes are parallel or identical. 2 x − y + 3 z = 8 8 x − 4 y + 12 z = 5

To determine

Whether the planes are parallel or identical.

Explanation

Given:

Equations of planes are:

2xy+3z=88x4y+12z=5

The provided pair of planes will be parallel if their normal vectors are proportional to each other, that is:

n2=kn1

Here, n1 is the normal vector of first plane, n2 is the normal vector of second plane and k is any real number.

So, the provided equations of planes are:

2xy+3z=88x4y+12z=5

The coordinates of normal vector of planes will be the coefficients of x,y,z. Then,

n1=2,1,3.…....

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