Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 7.6, Problem 80E

The forces F 1 , F 2 , F 3 , … , F n

acting on an object are in equilibrium if the resultant force is the zero vector:

F 1 + F 2 + F 3 + … + F n = 0 .

In Exercises 79-82, the given forces are acting on an object.

a. Find the resultant force.

b. What additional force is required for the given forces to be in equilibrium?

F 1 = − 2 i + 3 j ,           F 2 = i − j ,           F 3 = 5 i − 12 j

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Chapter 7 Solutions

Algebra and Trigonometry (6th Edition)

Ch. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - 4. True or false: A triangle in which two sides...Ch. 7.1 - Fill in each blank so that the resulting statement...Ch. 7.1 - In Exercises 79-80, convert each polar equation to...Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - In Exercises 1-8, solve each triangle. Round...
Ch. 7.1 - Prob. 6ECh. 7.1 - In Exercises 1-8, solve each triangle. Round...Ch. 7.1 - In Exercises 1-8, solve each triangle. Round...Ch. 7.1 - In Exercises 9-16, solve each triangle. Round...Ch. 7.1 - Prob. 10ECh. 7.1 - In Exercises 9-16, solve each triangle. Round...Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - In Exercises 9-16, solve each triangle. Round...Ch. 7.1 - Prob. 15ECh. 7.1 - In Exercises 9-16, solve each triangle. Round...Ch. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - Prob. 27ECh. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - In Exercises 17-32, two sides and an angle (SSA)...Ch. 7.1 - In Exercises 33-38, find the area of the triangle...Ch. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - In Exercises 33-38, find the area of the triangle...Ch. 7.1 - In Exercises 39-40, find h to the nearest tenth. Ch. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - A pine tree growing on a hillside makes a 75 angle...Ch. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - 55. When the angle of elevation of the Sun is 62°,...Ch. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - 61. What is an oblique triangle? Ch. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - What do the abbreviations SAA and ASA mean?Ch. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Prob. 75ECh. 7.1 - Prob. 76ECh. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Prob. 79ECh. 7.1 - Prob. 80ECh. 7.1 - Prob. 81ECh. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.2 - If A, B, and C are the measures of the angles of a...Ch. 7.2 - To solve an oblique triangle given two sides and...Ch. 7.2 - To solve an oblique triangle given three sides...Ch. 7.2 - Fill in each blank so that the resulting statement...Ch. 7.2 - In Exercises 1-8, solve each triangle. Round...Ch. 7.2 - In Exercises 1-8, solve each triangle. Round...Ch. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - In Exercises 9-24, solve each triangle. Round...Ch. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - In Exercises 9-24, solve each triangle. Round...Ch. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - In Exercises 9-24, solve each triangle. Round...Ch. 7.2 - In Exercises 9-24, solve each triangle. Round...Ch. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - In Exercises 25-30, use Heron’s formula to find...Ch. 7.2 - In Exercises 25-30, use Herons formula to find the...Ch. 7.2 - In Exercises 25-30, use Herons formula to find the...Ch. 7.2 - In Exercises 25-30, use Herons formula to find the...Ch. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - In Exercises 33-34, the three circles are arranged...Ch. 7.2 - Prob. 35ECh. 7.2 - In Exercises 35-36, the three given points are the...Ch. 7.2 - 37. Use Figure 7.13 on page 744 to find the pace...Ch. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - To find the distance across a protected cove at a...Ch. 7.2 - Prob. 43ECh. 7.2 - The diagram shows three islands in Florida Bay....Ch. 7.2 - 45. You are on a fishing boat that leaves its pier...Ch. 7.2 - 46. You are on a fishing boat that leaves its pier...Ch. 7.2 - The figure shows a 400-foot tower on the side of a...Ch. 7.2 - 48. The figure shows a 200-foot tower on the side...Ch. 7.2 - 49. A Major League baseball diamond has four bases...Ch. 7.2 - 50. A Little League baseball diamond has four...Ch. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Make Sense? In Exercises 61-64, determine whether...Ch. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - The group should design five original problems...Ch. 7.2 - Prob. 69ECh. 7.2 - Prob. 70ECh. 7.2 - Prob. 71ECh. 7.2 - Prob. 72ECh. 7.2 - Prob. 73ECh. 7.2 - Exercises 72-74 will help you prepare for the...Ch. 7.3 - Prob. 1CVCCh. 7.3 - Prob. 2CVCCh. 7.3 - Prob. 3CVCCh. 7.3 - Prob. 4CVCCh. 7.3 - Prob. 5CVCCh. 7.3 - Prob. 6CVCCh. 7.3 - Prob. 7CVCCh. 7.3 - Prob. 8CVCCh. 7.3 - Prob. 9CVCCh. 7.3 - Prob. 10CVCCh. 7.3 - Prob. 11CVCCh. 7.3 - Prob. 12CVCCh. 7.3 - Prob. 13CVCCh. 7.3 - Prob. 14CVCCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - In Exercises 11-20, use a polar coordinate system...Ch. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - In Exercises 11-20, use a polar coordinate system...Ch. 7.3 - Prob. 16ECh. 7.3 - In Exercises 11-20, use a polar coordinate system...Ch. 7.3 - In Exercises 11-20, use a polar coordinate system...Ch. 7.3 - In Exercises 11-20, use a polar coordinate system...Ch. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - In Exercises 21-26, use a polar coordinate system...Ch. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - In Exercises 27-32, select the representations...Ch. 7.3 - In Exercises 27-32, select the representations...Ch. 7.3 - In Exercises 27-32, select the representations...Ch. 7.3 - In Exercises 27-32, select the representations...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 33-40, polar coordinates of a point...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 41-48, the rectangular coordinates of...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - Prob. 51ECh. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - In Exercises 49-58, convert each rectangular...Ch. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - Prob. 69ECh. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 59-74, convert each polar equation to...Ch. 7.3 - In Exercises 75-78, show that each statement is...Ch. 7.3 - Prob. 76ECh. 7.3 - Prob. 77ECh. 7.3 - Prob. 78ECh. 7.3 - Prob. 79ECh. 7.3 - Prob. 80ECh. 7.3 - Prob. 81ECh. 7.3 - Prob. 82ECh. 7.3 - Prob. 83ECh. 7.3 - Prob. 84ECh. 7.3 - Prob. 85ECh. 7.3 - The wind is blowing at 10 knots. Sailboat racers...Ch. 7.3 - Prob. 87ECh. 7.3 - 88. Explain how to plot if and . Ch. 7.3 - Prob. 89ECh. 7.3 - Prob. 90ECh. 7.3 - Prob. 91ECh. 7.3 - Prob. 92ECh. 7.3 - Prob. 93ECh. 7.3 - Prob. 94ECh. 7.3 - Prob. 95ECh. 7.3 - Suppose that (r,) describes the sailing speed, r,...Ch. 7.3 - Prob. 97ECh. 7.3 - Prob. 98ECh. 7.3 - Prob. 99ECh. 7.3 - Prob. 100ECh. 7.3 - Prob. 101ECh. 7.3 - Prob. 102ECh. 7.3 - Make Sense? In Exercises 103-106, determine...Ch. 7.3 - Make Sense? In Exercises 103-106, determine...Ch. 7.3 - Prob. 105ECh. 7.3 - Make Sense? In Exercises 103-106, determine...Ch. 7.3 - Prob. 107ECh. 7.3 - Prob. 108ECh. 7.3 - Prob. 109ECh. 7.3 - Prob. 110ECh. 7.3 - Prob. 111ECh. 7.3 - Prob. 112ECh. 7.3 - Prob. 113ECh. 7.3 - Prob. 114ECh. 7.4 - Prob. 1CVCCh. 7.4 - Prob. 2CVCCh. 7.4 - Prob. 3CVCCh. 7.4 - Prob. 4CVCCh. 7.4 - Prob. 5CVCCh. 7.4 - Prob. 6CVCCh. 7.4 - Prob. 7CVCCh. 7.4 - Prob. 8CVCCh. 7.4 - Fill in each blank so that the resulting statement...Ch. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - In Exercise Set 7.3, we considered an application...Ch. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Describe how to graph a polar equation.Ch. 7.4 - Prob. 53ECh. 7.4 - Describe the test for symmetry with respect to the...Ch. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Use the polar mode of a graphing utility with...Ch. 7.4 - Use the polar mode of a graphing utility with...Ch. 7.4 - Use the polar mode of a graphing utility with...Ch. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7.4 - Prob. 64ECh. 7.4 - Prob. 65ECh. 7.4 - Prob. 66ECh. 7.4 - Prob. 67ECh. 7.4 - Prob. 68ECh. 7.4 - Prob. 69ECh. 7.4 - Prob. 70ECh. 7.4 - Prob. 71ECh. 7.4 - Prob. 72ECh. 7.4 - Prob. 73ECh. 7.4 - Prob. 74ECh. 7.4 - Prob. 75ECh. 7.4 - Prob. 76ECh. 7.4 - Prob. 77ECh. 7.4 - Prob. 78ECh. 7.4 - Prob. 79ECh. 7.4 - Prob. 80ECh. 7.4 - In Exercises 79-82, use a graphing utility to...Ch. 7.4 - Prob. 82ECh. 7.4 - Prob. 83ECh. 7.4 - Repeat Exercise 83 for r=cosn. Are your...Ch. 7.4 - Prob. 85ECh. 7.4 - Prob. 86ECh. 7.4 - Prob. 87ECh. 7.4 - Prob. 88ECh. 7.4 - Prob. 89ECh. 7.4 - Prob. 90ECh. 7.4 - Prob. 91ECh. 7.4 - Prob. 92ECh. 7.4 - Prob. 93ECh. 7.4 - Prob. 94ECh. 7.4 - Prob. 95ECh. 7.4 - Prob. 96ECh. 7.4 - Prob. 97ECh. 7.4 - Prob. 98ECh. 7.4 - Prob. 99ECh. 7.4 - Prob. 100ECh. 7.4 - Prob. 101ECh. 7.5 - Fill in each blank so that the resulting statement...Ch. 7.5 - Prob. 2CVCCh. 7.5 - Prob. 3CVCCh. 7.5 - Prob. 4CVCCh. 7.5 - Prob. 5CVCCh. 7.5 - Prob. 6CVCCh. 7.5 - Prob. 7CVCCh. 7.5 - Prob. 8CVCCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - In Exercises 11-26, plot each complex number. Then...Ch. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - In Exercises 11-26, plot each complex number. Then...Ch. 7.5 - In Exercises 11-26, plot each complex number. Then...Ch. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - In Exercises 27-36, write each complex number in...Ch. 7.5 - In Exercises 27-36, write each complex number in...Ch. 7.5 - In Exercises 27-36, write each complex number in...Ch. 7.5 - Prob. 31ECh. 7.5 - In Exercises 27-36, write each complex number in...Ch. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - In Exercises 27-36, write each complex number in...Ch. 7.5 - In Exercises 27-36, write each complex number in...Ch. 7.5 - In Exercises 37-44, find the product of the...Ch. 7.5 - In Exercises 37-44, find the product of the...Ch. 7.5 - In Exercises 37-44, find the product of the...Ch. 7.5 - Prob. 40ECh. 7.5 - Prob. 41ECh. 7.5 - In Exercises 37-44, find the product of the...Ch. 7.5 - In Exercises 37-44, find the product of the...Ch. 7.5 - In Exercises 37-44, find the product of the...Ch. 7.5 - In Exercises 45-52, find the quotient z1z2 of the...Ch. 7.5 - Prob. 46ECh. 7.5 - Prob. 47ECh. 7.5 - In Exercises 45-52, find the quotient z1z2 of the...Ch. 7.5 - Prob. 49ECh. 7.5 - In Exercises 45-52, find the quotient of the...Ch. 7.5 - In Exercises 45-52, find the quotient of the...Ch. 7.5 - In Exercises 45-52, find the quotient of the...Ch. 7.5 - In Exercises 53-64, use DeMoivres Theorem to find...Ch. 7.5 - In Exercises 53-64, use DeMoivre’s Theorem to find...Ch. 7.5 - Prob. 55ECh. 7.5 - Prob. 56ECh. 7.5 - Prob. 57ECh. 7.5 - Prob. 58ECh. 7.5 - In Exercises 53-64, use DeMoivres Theorem to find...Ch. 7.5 - In Exercises 53-64, use DeMoivre’s Theorem to find...Ch. 7.5 - In Exercises 53-64, use DeMoivre’s Theorem to find...Ch. 7.5 - In Exercises 53-64, use DeMoivres Theorem to find...Ch. 7.5 - In Exercises 53-64, use DeMoivres Theorem to find...Ch. 7.5 - Prob. 64ECh. 7.5 - In Exercises 65-68, find all the complex roots....Ch. 7.5 - In Exercises 65-68, find all the complex roots....Ch. 7.5 - In Exercises 65-68, find all the complex roots....Ch. 7.5 - Prob. 68ECh. 7.5 - In Exercises 69-76, find all the complex roots....Ch. 7.5 - Prob. 70ECh. 7.5 - Prob. 71ECh. 7.5 - In Exercises 69-76, find all the complex roots....Ch. 7.5 - Prob. 73ECh. 7.5 - Prob. 74ECh. 7.5 - In Exercises 69-76, find all the complex roots....Ch. 7.5 - In Exercises 69-76, find all the complex roots....Ch. 7.5 - Prob. 77ECh. 7.5 - Prob. 78ECh. 7.5 - Prob. 79ECh. 7.5 - Prob. 80ECh. 7.5 - In Exercises 81-86, solve each equation in the...Ch. 7.5 - Prob. 82ECh. 7.5 - In Exercises 81-86, solve each equation in the...Ch. 7.5 - Prob. 84ECh. 7.5 - Prob. 85ECh. 7.5 - Prob. 86ECh. 7.5 - Prob. 87ECh. 7.5 - Prob. 88ECh. 7.5 - Prob. 89ECh. 7.5 - Prob. 90ECh. 7.5 - Prob. 91ECh. 7.5 - Prob. 92ECh. 7.5 - Explain how to plot a complex number in the...Ch. 7.5 - Prob. 94ECh. 7.5 - Prob. 95ECh. 7.5 - Prob. 96ECh. 7.5 - Prob. 97ECh. 7.5 - Prob. 98ECh. 7.5 - Prob. 99ECh. 7.5 - Prob. 100ECh. 7.5 - Explain how to use DeMoivres Theorem for finding...Ch. 7.5 - Prob. 102ECh. 7.5 - Prob. 103ECh. 7.5 - Prob. 104ECh. 7.5 - Prob. 105ECh. 7.5 - Prob. 106ECh. 7.5 - Prob. 107ECh. 7.5 - Prob. 108ECh. 7.5 - Prob. 109ECh. 7.5 - Prob. 110ECh. 7.5 - Prob. 111ECh. 7.5 - Prob. 112ECh. 7.5 - Prob. 113ECh. 7.5 - Prob. 114ECh. 7.5 - Prob. 115ECh. 7.5 - Prob. 116ECh. 7.5 - Exercises 116-118 will help you prepare for the...Ch. 7.5 - Prob. 118ECh. 7.6 - Fill in each blank so that the resulting statement...Ch. 7.6 - Prob. 2CVCCh. 7.6 - Prob. 3CVCCh. 7.6 - Prob. 4CVCCh. 7.6 - Prob. 5CVCCh. 7.6 - Prob. 6CVCCh. 7.6 - Prob. 7CVCCh. 7.6 - Prob. 8CVCCh. 7.6 - Prob. 9CVCCh. 7.6 - Prob. 10CVCCh. 7.6 - Fill in each blank so that the resulting statement...Ch. 7.6 - Prob. 12CVCCh. 7.6 - Prob. 13CVCCh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - In Exercises 5-12, sketch each vector as a...Ch. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - In Exercises 5-12, sketch each vector as a...Ch. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - In Exercises 13-20, let v be the vector from...Ch. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - In Exercises 21-38, let u=2i5j,v=3i+7j,andw=i6j....Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 39-46, find the unit vector that has...Ch. 7.6 - In Exercises 47-52, write the vector v in terms of...Ch. 7.6 - In Exercises 47-52, write the vector v in terms of...Ch. 7.6 - In Exercises 47-52, write the vector v in terms of...Ch. 7.6 - In Exercises 47-52, write the vector v in terms of...Ch. 7.6 - Prob. 51ECh. 7.6 - Prob. 52ECh. 7.6 - Prob. 53ECh. 7.6 - Prob. 54ECh. 7.6 - Prob. 55ECh. 7.6 - Prob. 56ECh. 7.6 - Prob. 57ECh. 7.6 - Prob. 58ECh. 7.6 - Prob. 59ECh. 7.6 - Prob. 60ECh. 7.6 - Prob. 61ECh. 7.6 - Prob. 62ECh. 7.6 - Prob. 63ECh. 7.6 - Prob. 64ECh. 7.6 - Prob. 65ECh. 7.6 - Prob. 66ECh. 7.6 - Prob. 67ECh. 7.6 - Prob. 68ECh. 7.6 - Prob. 69ECh. 7.6 - Prob. 70ECh. 7.6 - Prob. 71ECh. 7.6 - Prob. 72ECh. 7.6 - 73. The magnitude and direction exerted by two...Ch. 7.6 - The magnitude and direction of two forces acting...Ch. 7.6 - The figure shows a box being pulled up a ramp...Ch. 7.6 - Prob. 76ECh. 7.6 - Prob. 77ECh. 7.6 - Prob. 78ECh. 7.6 - Prob. 79ECh. 7.6 - The forces acting on an object are in equilibrium...Ch. 7.6 - Prob. 81ECh. 7.6 - Prob. 82ECh. 7.6 - Prob. 83ECh. 7.6 - Prob. 84ECh. 7.6 - Prob. 85ECh. 7.6 - Prob. 86ECh. 7.6 - Prob. 87ECh. 7.6 - Prob. 88ECh. 7.6 - Prob. 89ECh. 7.6 - Prob. 90ECh. 7.6 - What is the vector i?Ch. 7.6 - Prob. 92ECh. 7.6 - Prob. 93ECh. 7.6 - Prob. 94ECh. 7.6 - Prob. 95ECh. 7.6 - Prob. 96ECh. 7.6 - Prob. 97ECh. 7.6 - Prob. 98ECh. 7.6 - Prob. 99ECh. 7.6 - Prob. 100ECh. 7.6 - Prob. 101ECh. 7.6 - Prob. 102ECh. 7.6 - Prob. 103ECh. 7.6 - Prob. 104ECh. 7.6 - Prob. 105ECh. 7.6 - Prob. 106ECh. 7.6 - Prob. 107ECh. 7.6 - Prob. 108ECh. 7.6 - Prob. 109ECh. 7.6 - In Exercises 108-111, use the figure shown to...Ch. 7.6 - Prob. 111ECh. 7.6 - Prob. 112ECh. 7.6 - Prob. 113ECh. 7.6 - Prob. 114ECh. 7.6 - Prob. 115ECh. 7.6 - Prob. 116ECh. 7.6 - Prob. 117ECh. 7.6 - Prob. 118ECh. 7.6 - Prob. 119ECh. 7.6 - Prob. 120ECh. 7.6 - Exercises 119-121 will help you prepare for the...Ch. 7.7 - Fill in each blank so that the resulting statement...Ch. 7.7 - Prob. 2CVCCh. 7.7 - Prob. 3CVCCh. 7.7 - Prob. 4CVCCh. 7.7 - Prob. 5CVCCh. 7.7 - Prob. 1ECh. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - In Exercises 1-8, use the given vectors to find ...Ch. 7.7 - Prob. 5ECh. 7.7 - Prob. 6ECh. 7.7 - Prob. 7ECh. 7.7 - In Exercises 1-8, use the given vectors to find ...Ch. 7.7 - Prob. 9ECh. 7.7 - Prob. 10ECh. 7.7 - Prob. 11ECh. 7.7 - Prob. 12ECh. 7.7 - Prob. 13ECh. 7.7 - Prob. 14ECh. 7.7 - Prob. 15ECh. 7.7 - Prob. 16ECh. 7.7 - Prob. 17ECh. 7.7 - Prob. 18ECh. 7.7 - In Exercises 17-22, find the angle between v and...Ch. 7.7 - In Exercises 17-22, find the angle between v and...Ch. 7.7 - In Exercises 17-22, find the angle between v and...Ch. 7.7 - In Exercises 17-22, find the angle between v and...Ch. 7.7 - Prob. 23ECh. 7.7 - Prob. 24ECh. 7.7 - Prob. 25ECh. 7.7 - Prob. 26ECh. 7.7 - Prob. 27ECh. 7.7 - Prob. 28ECh. 7.7 - Prob. 29ECh. 7.7 - Prob. 30ECh. 7.7 - Prob. 31ECh. 7.7 - Prob. 32ECh. 7.7 - In Exercises 33-38, find projwv. Then decompose v...Ch. 7.7 - In Exercises 33-38, find projwv. Then decompose v...Ch. 7.7 - Prob. 35ECh. 7.7 - Prob. 36ECh. 7.7 - Prob. 37ECh. 7.7 - In Exercises 33-38, find projw v. Then decompose v...Ch. 7.7 - Prob. 39ECh. 7.7 - Prob. 40ECh. 7.7 - Prob. 41ECh. 7.7 - Prob. 42ECh. 7.7 - Prob. 43ECh. 7.7 - Prob. 44ECh. 7.7 - Prob. 45ECh. 7.7 - Prob. 46ECh. 7.7 - Prob. 47ECh. 7.7 - Prob. 48ECh. 7.7 - Prob. 49ECh. 7.7 - Prob. 50ECh. 7.7 - Prob. 51ECh. 7.7 - Prob. 52ECh. 7.7 - Prob. 53ECh. 7.7 - Prob. 54ECh. 7.7 - Prob. 55ECh. 7.7 - Prob. 56ECh. 7.7 - Prob. 57ECh. 7.7 - Prob. 58ECh. 7.7 - A force is given by the vector F=3i+2j. The force...Ch. 7.7 - Prob. 60ECh. 7.7 - A force of 4 pounds acts in the direction of 50 to...Ch. 7.7 - Prob. 62ECh. 7.7 - Prob. 63ECh. 7.7 - Prob. 64ECh. 7.7 - Prob. 65ECh. 7.7 - Prob. 66ECh. 7.7 - Prob. 67ECh. 7.7 - Prob. 68ECh. 7.7 - Prob. 69ECh. 7.7 - Prob. 70ECh. 7.7 - Prob. 71ECh. 7.7 - Prob. 72ECh. 7.7 - 73. A weightlifter is holding a barbell perfectly...Ch. 7.7 - Prob. 74ECh. 7.7 - Prob. 75ECh. 7.7 - Prob. 76ECh. 7.7 - Prob. 77ECh. 7.7 - Prob. 78ECh. 7.7 - Prob. 79ECh. 7.7 - Prob. 80ECh. 7.7 - Prob. 81ECh. 7.7 - Prob. 82ECh. 7.7 - Prob. 83ECh. 7.7 - Prob. 84ECh. 7.7 - Prob. 85ECh. 7.7 - Prob. 86ECh. 7.7 - Prob. 87ECh. 7.7 - Prob. 88ECh. 7.7 - Prob. 89ECh. 7.7 - Exercises 90-92 will help you prepare for the...Ch. 7.7 - Prob. 91ECh. 7.7 - Prob. 92ECh. 7 - In Exercises 1-6, solve each triangle. Round...Ch. 7 - Prob. 2MCCPCh. 7 - Prob. 3MCCPCh. 7 - Prob. 4MCCPCh. 7 - In Exercises 1-6, solve each triangle. Round...Ch. 7 - Prob. 6MCCPCh. 7 - Prob. 7MCCPCh. 7 - Prob. 8MCCPCh. 7 - Prob. 9MCCPCh. 7 - Prob. 10MCCPCh. 7 - Prob. 11MCCPCh. 7 - Prob. 12MCCPCh. 7 - Prob. 13MCCPCh. 7 - Prob. 14MCCPCh. 7 - Prob. 15MCCPCh. 7 - Prob. 16MCCPCh. 7 - Prob. 17MCCPCh. 7 - In Exercises 18-20, convert each rectangular...Ch. 7 - Prob. 19MCCPCh. 7 - Prob. 20MCCPCh. 7 - Prob. 21MCCPCh. 7 - Prob. 22MCCPCh. 7 - Prob. 23MCCPCh. 7 - Prob. 24MCCPCh. 7 - Prob. 25MCCPCh. 7 - Prob. 26MCCPCh. 7 - Prob. 27MCCPCh. 7 - Prob. 28MCCPCh. 7 - Prob. 29MCCPCh. 7 - Prob. 30MCCPCh. 7 - Prob. 31MCCPCh. 7 - Prob. 32MCCPCh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - A commercial piece of real estate is priced at...Ch. 7 - In Exercises 22-27, plot each point in polar...Ch. 7 - In Exercises 22-27, plot each point in polar...Ch. 7 - In Exercises 22-27, plot each point in polar...Ch. 7 - In Exercises 22-27, plot each point in polar...Ch. 7 - In Exercises 22-27, plot each point in polar...Ch. 7 - In Exercises 22-27, plot each point in polar...Ch. 7 - In Exercises 28-30, plot each point in polar...Ch. 7 - In Exercises 28-30, plot each point in polar...Ch. 7 - In Exercises 28-30, plot each point in polar...Ch. 7 - In Exercises 31-36, the rectangular coordinates of...Ch. 7 - In Exercises 31-36, the rectangular coordinates of...Ch. 7 - In Exercises 31-36, the rectangular coordinates of...Ch. 7 - In Exercises 31-36, the rectangular coordinates of...Ch. 7 - In Exercises 31-36, the rectangular coordinates of...Ch. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - In Exercises 37-39, convert each rectangular...Ch. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - In Exercises 47-49, test for symmetry with respect...Ch. 7 - In Exercises 47-49, test for symmetry with respect...Ch. 7 - In Exercises 47-49, test for symmetry with respect...Ch. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - In Exercises 57-60, plot each complex number. Then...Ch. 7 - Prob. 61RECh. 7 - Prob. 62RECh. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - In Exercises 65-67, find the product of the...Ch. 7 - Prob. 67RECh. 7 - Prob. 68RECh. 7 - Prob. 69RECh. 7 - Prob. 70RECh. 7 - Prob. 71RECh. 7 - Prob. 72RECh. 7 - Prob. 73RECh. 7 - Prob. 74RECh. 7 - Prob. 75RECh. 7 - Prob. 76RECh. 7 - Prob. 77RECh. 7 - Prob. 78RECh. 7 - Prob. 79RECh. 7 - Prob. 80RECh. 7 - Prob. 81RECh. 7 - Prob. 82RECh. 7 - Prob. 83RECh. 7 - Prob. 84RECh. 7 - Prob. 85RECh. 7 - Prob. 86RECh. 7 - Prob. 87RECh. 7 - Prob. 88RECh. 7 - Prob. 89RECh. 7 - Prob. 90RECh. 7 - In Exercises 91-92, find the unit vector that has...Ch. 7 - In Exercises 91-92, find the unit vector that has...Ch. 7 - Prob. 93RECh. 7 - 94. The magnitude and direction of two forces...Ch. 7 - Prob. 95RECh. 7 - Prob. 96RECh. 7 - In Exercises 97-99, find the dot product . Then...Ch. 7 - In Exercises 97-99, find the dot product vw . Then...Ch. 7 - In Exercises 97-99, find the dot product vw . Then...Ch. 7 - Prob. 100RECh. 7 - Prob. 101RECh. 7 - In Exercises 102-103, find projwv. Then decompose...Ch. 7 - Prob. 103RECh. 7 - Prob. 104RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - Prob. 21TCh. 7 - Prob. 22TCh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - In Exercises 7-8, verify each identity....Ch. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Prob. 17CRECh. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - Prob. 20CRE
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Vector Addition and Scalar Multiplication, Example 1; Author: patrickJMT;https://www.youtube.com/watch?v=pNMrYACjHXQ;License: Standard YouTube License, CC-BY