   Chapter 11.5, Problem 73E

Chapter
Section
Textbook Problem

# Parallel PlanesIn Exercises 61–64, determine whether the planes are parallel or identical. 3 x − 2 y + 5 z = 10 75 x − 50 y + 125 z = 250

To determine
Whether the planes 3x2y+5z=10 and 75x50y+125z=250 are parallel or identical.

Explanation

Given: Equations of planes are:

3x2y+5z=1075x50y+125z=250

Explanation:

Normal vector of first plane—n1,

Normal vector of second plane —-n2

and k is any real number.

Equations of planes are:

3x2y+5z=1075x50y+125z=250

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

n1=3,2,5........

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