Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card
Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card
7th Edition
ISBN: 9781337888936
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Linear Algebra
In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…
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Chapter 11.2, Problem 50E

Writing a Vector in Different Forms In Exercises 49 and 50, the initial and terminal points of a vector v are given, (a) Sketch the directed line segment, (b) Find the component form of the vector, (c) Write the vector using standard unit vector notation, (d) Sketch the vector with its initial point at the origin.

Initial point: ( 2 , − 1 , − 2 )

Terminal point: ( − 4 , 3 , 7 )

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Chapter 11 Solutions

Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card

Ch. 11.1 - CONCEPT CHECK Scalar and Vector Describe the...Ch. 11.1 - CONCEPT CHECK Vector Two points and a vector are...Ch. 11.1 - Sketching a Vector In Exercises 3 and 4, (a) find...Ch. 11.1 - Sketching a Vector In Exercises 3 and 4, (a) find...Ch. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - Writing a Vector in Different Forms In Exercises...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Finding a Terminal Point In Exercises 17 and 18,...Ch. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Sketching Scalar Multiples In Exercises 25 and 26,...Ch. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Sketching a Vector In Exercises 29-34, use the...Ch. 11.1 - Sketching a Vector In Exercises 29-34, use the...Ch. 11.1 - Sketching a Vector In Exercises 29-34, use the...Ch. 11.1 - Sketching a Vector In Exercises 29-34, use the...Ch. 11.1 - Sketching a Vector In Exercises 29-34, use the...Ch. 11.1 - Sketching a Vector In Exercises 29-34, use the...Ch. 11.1 - Finding a Unit Vector In Exercises 35-38, And the...Ch. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Finding a Unit Vector In Exercises 35-38, And the...Ch. 11.1 - Finding Magnitudes In Exercises 39-42, find the...Ch. 11.1 - Finding Magnitudes In Exercises 39-42, find the...Ch. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Finding a Vector In Exercises 53-56, find the...Ch. 11.1 - Finding a Vector In Exercises 53-56, find the...Ch. 11.1 - Prob. 56ECh. 11.1 - EXPLORING CONCEPTS Think About It In Exercises 57...Ch. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Finding Values In Exercises 61-66, find a and b...Ch. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Finding Unit Vectors In Exercises 67-72, find a...Ch. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Finding Unit Vectors In Exercises 67-72, find a...Ch. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Numerical and Graphical Analysis Forces with...Ch. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.1 - Cable Tension In Exercises 79 and 80, determine...Ch. 11.1 - Cable Tension In Exercises 79 and 79, determine...Ch. 11.1 - Prob. 81ECh. 11.1 - Prob. 82ECh. 11.1 - Navigation A plane is flying with a bearing of...Ch. 11.1 - Prob. 84ECh. 11.1 - Prob. 85ECh. 11.1 - Prob. 86ECh. 11.1 - Prob. 87ECh. 11.1 - Prob. 88ECh. 11.1 - Prob. 89ECh. 11.1 - Prob. 90ECh. 11.1 - Prob. 91ECh. 11.1 - True or False? In Exercises 85-94, determine...Ch. 11.1 - Prob. 93ECh. 11.1 - Prob. 94ECh. 11.1 - Prob. 95ECh. 11.1 - Geometry Using vectors, prove that die line...Ch. 11.1 - Prob. 97ECh. 11.1 - Prob. 98ECh. 11.1 - Prob. 99ECh. 11.1 - PUTNAM EXAM CHALLENGE A coast artillery gun can...Ch. 11.2 - CONCEPT CHECK Describing Coordinates A point in...Ch. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Parallel Vectors Explain how to determine whether...Ch. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Finding Coordinates of a Point In Exercises 9-12,...Ch. 11.2 - Finding Coordinates of a Point In Exercises 9-12,...Ch. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Finding the Equation of a Sphere In Exercises...Ch. 11.2 - Finding the Equation of a Sphere In Exercises...Ch. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Finding the Equation of a Sphere In Exercises...Ch. 11.2 - Finding the Component Form of a Vector in Space In...Ch. 11.2 - Prob. 48ECh. 11.2 - Writing a Vector in Different Forms In Exercises...Ch. 11.2 - Writing a Vector in Different Forms In Exercises...Ch. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Finding a Terminal Point In Exercises 55 and 56,...Ch. 11.2 - Prob. 56ECh. 11.2 - Finding Scalar Multiples In Exercises 57 and 58,...Ch. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Finding a Vector In Exercises 59-62, find the...Ch. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.2 - Prob. 73ECh. 11.2 - Prob. 74ECh. 11.2 - Prob. 75ECh. 11.2 - Prob. 76ECh. 11.2 - Prob. 77ECh. 11.2 - Prob. 78ECh. 11.2 - Finding Unit Vectors In Exercises 79-82, find a...Ch. 11.2 - Prob. 80ECh. 11.2 - Prob. 81ECh. 11.2 - Prob. 82ECh. 11.2 - Prob. 83ECh. 11.2 - Prob. 84ECh. 11.2 - Prob. 85ECh. 11.2 - Prob. 86ECh. 11.2 - Prob. 87ECh. 11.2 - Prob. 88ECh. 11.2 - Prob. 89ECh. 11.2 - Prob. 90ECh. 11.2 - Prob. 91ECh. 11.2 - Prob. 92ECh. 11.2 - Prob. 93ECh. 11.2 - Prob. 94ECh. 11.2 - Prob. 95ECh. 11.2 - Prob. 96ECh. 11.2 - Prob. 97ECh. 11.2 - Tower Guy Wire The guy wire supporting a...Ch. 11.2 - Auditorium Lights The lights in an auditorium are...Ch. 11.2 - Think About It Suppose the length of each cable in...Ch. 11.2 - Load Supports Find the tension in each of the...Ch. 11.2 - Prob. 102ECh. 11.2 - Prob. 103ECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Find (a) u.v (b) u.u (c) (b) (c)(d) (e) v(f)...Ch. 11.3 - Prob. 4ECh. 11.3 - Find (a) u.v (b) u.u (c) (b) (c)(d) (e) v(f)...Ch. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Finding the Angle Between Two Vectors In Exercises...Ch. 11.3 - Finding the Angle Between Two Vector In Exercises...Ch. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - The vertices of a triangle are given. Determine...Ch. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Finding Direction Angles In Exercises 31-36, find...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Finding Direction Angles In Exercises 31-36, find...Ch. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - (a) Find the projection of u onto v and (b) find...Ch. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Explain why u + v.w is not defined, where u, v and...Ch. 11.3 - Prob. 46ECh. 11.3 - When the projection of u onto v has the same...Ch. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - Prob. 58ECh. 11.3 - Prob. 59ECh. 11.3 - Prob. 60ECh. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - In exercise y=x2,y=x1/3 (a) Find all points of...Ch. 11.3 - In exercise y=x3,y=x1/3 (a) Find all points of...Ch. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Use vectors to prove that parallelogram is a...Ch. 11.3 - Consider a regular tetrahedron with vertices...Ch. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.4 - CONCEPT CHECK Vectors Explain what uv represents...Ch. 11.4 - Prob. 2ECh. 11.4 - Cross Product of Unit Vectors In Exercises 3-6,...Ch. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Finding Cross Products In Exercises 7-10, find (a)...Ch. 11.4 - Finding Cross Products In Exercises 7-10, find (a)...Ch. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Finding a Cross Product In Exercises 11-14, find...Ch. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Finding a Unit Vector In Exercises 15-18. Find a...Ch. 11.4 - Finding a Unit Vector In Exercises 15-18. Find a...Ch. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Area In Exercises 23 and 24, verify that the...Ch. 11.4 - Area In Exercises 23 and 24, verify that the...Ch. 11.4 - Area In Exercises 25 and 26, find the area of the...Ch. 11.4 - Prob. 26ECh. 11.4 - Torque The brakes on a bicycle are applied using a...Ch. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Finding a Triple Scalar Product In Exercises...Ch. 11.4 - Finding a Triple Scalar Product In Exercises...Ch. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Volume In Exercises 35 and 36. use the triple...Ch. 11.4 - Prob. 36ECh. 11.4 - Volume In Exercises 37 and 38, find the volume of...Ch. 11.4 - Volume In Exercises 37 and 38, find the volume of...Ch. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - True or False? In Exercises 43-46, determine...Ch. 11.4 - True or False? In Exercises 43-46, determine...Ch. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Proof In Exercises 47-52. prove the property of...Ch. 11.4 - Prob. 53ECh. 11.4 - Proof Prove that u(vw)=(uw)v(uv)wCh. 11.4 - Prob. 55ECh. 11.5 - CONCEPT CHECK Parametric and Symmetric Equations...Ch. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Finding a Point of Intersection In Exercises...Ch. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Checking Points in a Plane In Exercises 37 and 38,...Ch. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Finding an Equation of a Plane In Exercises45-56....Ch. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Comparing Planes In Exercises 69-74, determine...Ch. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11.5 - Prob. 77ECh. 11.5 - Prob. 78ECh. 11.5 - Prob. 79ECh. 11.5 - Prob. 80ECh. 11.5 - Prob. 81ECh. 11.5 - Prob. 82ECh. 11.5 - Prob. 83ECh. 11.5 - Prob. 84ECh. 11.5 - Prob. 85ECh. 11.5 - Prob. 86ECh. 11.5 - Prob. 87ECh. 11.5 - Prob. 88ECh. 11.5 - Prob. 89ECh. 11.5 - Prob. 90ECh. 11.5 - Prob. 91ECh. 11.5 - Prob. 92ECh. 11.5 - Prob. 93ECh. 11.5 - Prob. 94ECh. 11.5 - Prob. 95ECh. 11.5 - Prob. 96ECh. 11.5 - Prob. 97ECh. 11.5 - Prob. 98ECh. 11.5 - Prob. 99ECh. 11.5 - Prob. 100ECh. 11.5 - Prob. 101ECh. 11.5 - Prob. 102ECh. 11.5 - Prob. 103ECh. 11.5 - HOW DO YOU SEE IT? Match the general equation with...Ch. 11.5 - Prob. 105ECh. 11.5 - Mechanical Design The figure shows a chute at the...Ch. 11.5 - Distance Two insects are crawling along different...Ch. 11.5 - Prob. 108ECh. 11.5 - Prob. 109ECh. 11.5 - Prob. 110ECh. 11.5 - Prob. 111ECh. 11.5 - Prob. 112ECh. 11.5 - Prob. 113ECh. 11.5 - Prob. 114ECh. 11.5 - Prob. 115ECh. 11.5 - Prob. 116ECh. 11.5 - Prob. 117ECh. 11.5 - Prob. 118ECh. 11.6 - Prob. 1ECh. 11.6 - Prob. 2ECh. 11.6 - Prob. 3ECh. 11.6 - Prob. 4ECh. 11.6 - Matching In Exercises 5-10, match the equation...Ch. 11.6 - Matching In Exercises 5-10, match the equation...Ch. 11.6 - Prob. 7ECh. 11.6 - Prob. 8ECh. 11.6 - Prob. 9ECh. 11.6 - Matching In Exercises 5-10, match the equation...Ch. 11.6 - Prob. 11ECh. 11.6 - Prob. 12ECh. 11.6 - Prob. 13ECh. 11.6 - Prob. 14ECh. 11.6 - Prob. 15ECh. 11.6 - Sketching a Quadric Surface In Exercises15-26,...Ch. 11.6 - Prob. 17ECh. 11.6 - Prob. 18ECh. 11.6 - Prob. 19ECh. 11.6 - Prob. 20ECh. 11.6 - Prob. 21ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - Prob. 29ECh. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Prob. 32ECh. 11.6 - Prob. 33ECh. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 36ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - Finding a Generating Curve In Exercises37-40, find...Ch. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Prob. 44ECh. 11.6 - Prob. 45ECh. 11.6 - Finding an Equation of a Surface In Exercises 45...Ch. 11.6 - Geography Because of the forces caused by its...Ch. 11.6 - Machine Design The top of a rubber bushing...Ch. 11.6 - Using a Hyperbolic Paraboloid Determine the...Ch. 11.6 - Prob. 50ECh. 11.6 - Think About It Three types of classic topological...Ch. 11.7 - Prob. 1ECh. 11.7 - Prob. 2ECh. 11.7 - Prob. 3ECh. 11.7 - Prob. 4ECh. 11.7 - Prob. 5ECh. 11.7 - Prob. 6ECh. 11.7 - Prob. 7ECh. 11.7 - Prob. 8ECh. 11.7 - Prob. 9ECh. 11.7 - Prob. 10ECh. 11.7 - Prob. 11ECh. 11.7 - Prob. 12ECh. 11.7 - Rectangular-to-Cylindrical Conversion In Exercises...Ch. 11.7 - Prob. 14ECh. 11.7 - Prob. 15ECh. 11.7 - Prob. 16ECh. 11.7 - Prob. 17ECh. 11.7 - Rectangular-to-Cylindrical Conversion In Exercises...Ch. 11.7 - Prob. 19ECh. 11.7 - Prob. 20ECh. 11.7 - Prob. 21ECh. 11.7 - Prob. 22ECh. 11.7 - Prob. 23ECh. 11.7 - Prob. 24ECh. 11.7 - Prob. 25ECh. 11.7 - Cylindrical-to-Rectangular Conversion In Exercises...Ch. 11.7 - Prob. 27ECh. 11.7 - Prob. 28ECh. 11.7 - Prob. 29ECh. 11.7 - Prob. 30ECh. 11.7 - Prob. 31ECh. 11.7 - Prob. 32ECh. 11.7 - Prob. 33ECh. 11.7 - Prob. 34ECh. 11.7 - Prob. 35ECh. 11.7 - Prob. 36ECh. 11.7 - Spherical-to-Rectangular Conversion In...Ch. 11.7 - Prob. 38ECh. 11.7 - Prob. 39ECh. 11.7 - Prob. 40ECh. 11.7 - Prob. 41ECh. 11.7 - Prob. 42ECh. 11.7 - Prob. 43ECh. 11.7 - Prob. 44ECh. 11.7 - Prob. 45ECh. 11.7 - Prob. 46ECh. 11.7 - Prob. 47ECh. 11.7 - Prob. 48ECh. 11.7 - Prob. 49ECh. 11.7 - Prob. 50ECh. 11.7 - Prob. 51ECh. 11.7 - Prob. 52ECh. 11.7 - Prob. 53ECh. 11.7 - Prob. 54ECh. 11.7 - Prob. 55ECh. 11.7 - Prob. 56ECh. 11.7 - Prob. 57ECh. 11.7 - Spherical-to-Rectangular Conversion In Exercises...Ch. 11.7 - Prob. 59ECh. 11.7 - Cylindrical-to-Spherical Conversion In Exercises...Ch. 11.7 - Prob. 61ECh. 11.7 - Prob. 62ECh. 11.7 - Prob. 63ECh. 11.7 - Prob. 64ECh. 11.7 - Prob. 65ECh. 11.7 - Prob. 66ECh. 11.7 - Prob. 67ECh. 11.7 - Prob. 68ECh. 11.7 - Prob. 69ECh. 11.7 - Prob. 70ECh. 11.7 - Prob. 71ECh. 11.7 - Prob. 72ECh. 11.7 - Prob. 73ECh. 11.7 - Prob. 74ECh. 11.7 - Prob. 75ECh. 11.7 - Prob. 76ECh. 11.7 - Prob. 77ECh. 11.7 - Prob. 78ECh. 11.7 - Prob. 79ECh. 11.7 - Prob. 80ECh. 11.7 - Prob. 81ECh. 11.7 - Prob. 82ECh. 11.7 - Prob. 83ECh. 11.7 - Prob. 84ECh. 11.7 - Prob. 85ECh. 11.7 - Prob. 86ECh. 11.7 - Prob. 87ECh. 11.7 - Sketching a Solid In Exercises 87-90, sketch the...Ch. 11.7 - Prob. 89ECh. 11.7 - Sketching a Solid In Exercises 87-90, sketch the...Ch. 11.7 - Prob. 91ECh. 11.7 - Prob. 92ECh. 11.7 - Prob. 93ECh. 11.7 - Prob. 94ECh. 11.7 - Prob. 95ECh. 11.7 - Prob. 96ECh. 11.7 - Prob. 97ECh. 11.7 - Prob. 98ECh. 11.7 - Prob. 99ECh. 11.7 - Prob. 100ECh. 11.7 - Prob. 101ECh. 11.7 - Prob. 102ECh. 11.7 - Prob. 103ECh. 11.7 - Prob. 104ECh. 11 - Writing Vectors in Different Forms In Exercises 1...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Finding Parametric and Symmetric Equations In...Ch. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Finding an Equation of a Plane In Exercises 41-44,...Ch. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Proof Using vectors, prove the Law of Sines: If a,...Ch. 11 - Prob. 2PSCh. 11 - Prob. 3PSCh. 11 - Prob. 4PSCh. 11 - Prob. 5PSCh. 11 - Prob. 6PSCh. 11 - Volume (a) Find the volume of the solid bounded...Ch. 11 - Prob. 8PSCh. 11 - Prob. 9PSCh. 11 - Prob. 10PSCh. 11 - Prob. 11PSCh. 11 - Prob. 12PSCh. 11 - Tetherball A tetherball weighing 1 pound is pulled...Ch. 11 - Prob. 14PSCh. 11 - Prob. 15PSCh. 11 - Prob. 16PSCh. 11 - Prob. 17PSCh. 11 - Prob. 18PSCh. 11 - Prob. 19PS
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