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

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Chapter 7.2, Problem 21E
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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 = 3 ,     z = − 1

To determine

Weather the equations of planes x=3and z=−1, are parallel, perpendicular or not parallel, not perpendicular.

Explanation

Given Information:

Equations of given planes are x=3and z=−1.

Consider the provided equations:

x=3and z=−1

If a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2 are two planes.

Planes are parallel if

a2a1=b2b1=c2c1=k (constant)

Planes are perpendicular if

a1a2+b1b2+c1c2=0

Equations of given planes are

x=3 

And

z=−1

Now, on comparing the equations x=3  with a1x+b1y+c1y=d1:

a1=1b1=0c1=0d1=3

And, on comparing t

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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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Finite Mathematics

For Problems 79-99, answer the question with an algebraic expression. Objective 3 If n represents a whole numbe...

Intermediate Algebra

Identify the curve by finding a Cartesian equation for the curve. 17. r =5 cos

Single Variable Calculus: Early Transcendentals

Use the Cofunction Theorem to fill in the blanks so that each expression becomes a true statement. sinx=cos

Trigonometry (MindTap Course List)

Use Exhibit 20-6, Mutual Fund Quotation Table, on page 693 to fill in the blanks for Questions 35-38. EXHIBIT 2...

Contemporary Mathematics for Business & Consumers

26. Let , , and . Write out and .

Elements Of Modern Algebra

In the figure for Exercises 7 to 16, O is the center of the circle. See Theorem 6.3.5. Given: AE=x2,EB=12,DE=x+...

Elementary Geometry For College Students, 7e

Perform the indicated operations and write each result in scientific notation rounded to three significant digi...

Elementary Technical Mathematics

Solving an Exponential or Logarithmic Equation In Exercises 43-46, solve Tor x accurate to three decimal places...

Calculus of a Single Variable

Finding the Area of a Region In Exercises 41-44, find the area of the region bounded by the graphs of the equat...

Calculus: Early Transcendental Functions (MindTap Course List)

Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to 3.

Finite Mathematics for the Managerial, Life, and Social Sciences

Given a die in the shape of a regular octahedron, find the probability that one roll produces a an even- number...

Elementary Geometry for College Students

Area In Exercises 23 and 24, verify that the points are the vertices of a parallelogram, and find its area. A(2...

Calculus

Finding a Derivative In Exercises 11-18, find r(t). r(t)=t,sint,tcost,t

Calculus (MindTap Course List)

Study Guide for Stewart's Multivariable Calculus, 8th

Using the Second Partials TestIn Exercises 924, find all relative extrema and saddle points of the function. Us...

Multivariable Calculus

Which is the best graph of y = f (x) for the given graph of y = f (x)? a) None of these

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

Find the sum of each infinite geometric sequence, if possible. 15,-215,445,

College Algebra (MindTap Course List)

In addition to the key words, you should also be able to define each of the following terms: Descriptive resear...

Research Methods for the Behavioral Sciences (MindTap Course List)

In Exercises 2338, find the indicated value. 20!

Mathematics: A Practical Odyssey

The U.S. Department of Energy provides fuel economy information for a variety of motor vehicles. A sample of 10...

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

Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 3. Distance C=_

Mathematics For Machine Technology

Health insurers are beginning to offer telemedicine services online that replace the common office visit. Wellp...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Use the information given in the previous exercise to determine the approximate value of in each of the follow...

Introduction To Statistics And Data Analysis

Find your colleges IRB guidelines and procedures (you probably will need to search online through your colleges...

Research Methods for the Behavioral Sciences (MindTap Course List)

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