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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.2, Problem 22E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Comparing Planes In Exercises 13-22, determine whether the planes

a 1 x   +   b 1 y   +   c 1 z   = d 1

and

a 2 x + b 2 y + c 2 z   =   d 2 are parallel, perpendicular, or neither. The planes are parallel when there exists a nonzero constant k such that a 1 =   k a 2 ,   b 1 =   k b 2 , and c 1 =   k c 2 , and are perpendicular when a 1 a 2 + b 1 b 2 + c 1 c 2 =   0.

x = − 2 , y = 4

To determine

Whether the plane x=−2 and y=4 are parallel, perpendicular or neither.

Explanation

Given Information:

The given planes are x=−2 and y=4.

For the two planes a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2:

Condition for both the planes to be parallel:

a1=ka2,b1=kb2 and c1=kc2 (where ‘k’ is constant scalar)

Condition for both the planes to be perpendicular:

a1a2+b1b2+c1c2=0

Analyse the equation of planes and observe which condition they satisfy

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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(a) What is a bounded sequence? (b) What is a monotonic sequence? (c) What can you say about a bounded monotoni...

Single Variable Calculus: Early Transcendentals

Perform the indicated operations and simplify: 234(316)

Elementary Technical Mathematics

The following problems review material we covered in Section 4.7. Reviewing these problems will help you with t...

Trigonometry (MindTap Course List)

Find a solution , , for each of the congruences in Exercises. Note that in each case, and are relatively p...

Elements Of Modern Algebra

Determine the range of the following sets of values. 16. $2.35 $4.16 $3.42 $1.29 $.89 $4.55

Contemporary Mathematics for Business & Consumers

In Exercises 33 to 36, use intuition to state a conclusion. The two triangles shown are similar to each other. ...

Elementary Geometry For College Students, 7e

Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. 2x3+3y3=64

Calculus: Early Transcendental Functions (MindTap Course List)

Finding an Equation of a Tangent Line In Exercises 61-64, find an equation of the tangent line to the graph of ...

Calculus of a Single Variable

Suppose A and B are independent events with P(A)=0.3, and P(B)=0.6. Find P(AB).

Finite Mathematics for the Managerial, Life, and Social Sciences

Suppose AB and CD have the same length. Which statements are expressed correctly? a AB=CD b AB=CD c ABCD d ABCD

Elementary Geometry for College Students

Sometimes, Always, or Never: (ax) = ax.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finding Relative Extrema and Saddle PointsIn Exercises 3538, (a) find the critical points, (b) test for relativ...

Calculus (MindTap Course List)

For and , a × b =

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Classifying a Point in a Vector Field How do you determine whether a point (x0,y0,z0) in a vector field is a so...

Multivariable Calculus

Acceleration Describe the motion of a particle when the normal component of acceleration is 0.

Calculus

The following list contains several variables that differentiate college students. a. Select two variables from...

Research Methods for the Behavioral Sciences (MindTap Course List)

Solve each system of equations using substitution or elimination for real values ofx andy . {x2+y2=102x23y2=5

College Algebra (MindTap Course List)

A survey showed that 8% of Internet users age 18 and older report keeping a blog. Referring to the 1829 age gro...

Statistics for Business & Economics, Revised (MindTap Course List)

Reduce 1230to lowest terms.

Mathematics For Machine Technology

Describe the basic characteristics of a pre-post design and explain why these designs are not true experiments.

Research Methods for the Behavioral Sciences (MindTap Course List)

A cruise ship charges passengers 3 for a can of soda. Because of passenger complaints, the ship manager has dec...

Introduction To Statistics And Data Analysis

The Kroger Company is one of the largest grocery retailers in the United States, with over 2000 grocery stores ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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