Calculus: Early Transcendental Functions (MindTap Course List)
6th Edition
ISBN: 9781285774770
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Question
Chapter 11.3, Problem 43E
To determine
The Dot product of
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Chapter 11 Solutions
Calculus: Early Transcendental Functions (MindTap Course List)
Ch. 11.1 - Sketching a Vector In Exercises 14, (a) find the...Ch. 11.1 - Sketching a Vector In Exercises 14, (a) find the...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. 27ECh. 11.1 - Finding a Terminal Point In Exercises 17 and 18,...Ch. 11.1 - Prob. 20ECh. 11.1 - Prob. 17ECh. 11.1 - Sketching Scalar Multiples In Exercises 25 and 26,...Ch. 11.1 - Prob. 19ECh. 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 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 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 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Finding Values In Exercises 6166, find aand bsuch...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 - Prob. 79ECh. 11.1 - Cable TensionDetermine the tension in each cable...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 - True or False? In Exercises 85-94, determine...Ch. 11.1 - Prob. 89ECh. 11.1 - Prob. 90ECh. 11.1 - Prob. 91ECh. 11.1 - Geometry Using vectors, prove that die line...Ch. 11.1 - GeometryUsing vectors, prove that the diagonals of...Ch. 11.1 - Prob. 94ECh. 11.1 - Prob. 95ECh. 11.1 - PUTNAM EXAM CHALLENGE A coast artillery gun can...Ch. 11.2 - CONCEPT CHECK Describing Coordinates A point in...Ch. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 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. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 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. 36ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 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. 46ECh. 11.2 - Prob. 47ECh. 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. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Finding a Terminal Point In Exercises 55 and 56,...Ch. 11.2 - Prob. 54ECh. 11.2 - Finding Scalar Multiples In Exercises 57 and 58,...Ch. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Finding a Vector In Exercises 59-62, find the...Ch. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 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 - Finding Unit Vectors In Exercises 79-82, find a...Ch. 11.2 - Prob. 78ECh. 11.2 - Prob. 79ECh. 11.2 - Prob. 80ECh. 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. 92ECh. 11.2 - Prob. 82ECh. 11.2 - Prob. 81ECh. 11.2 - Prob. 91ECh. 11.2 - Prob. 99ECh. 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. 104ECh. 11.2 - Prob. 105ECh. 11.2 - Prob. 94ECh. 11.2 - Prob. 95ECh. 11.2 - Prob. 96ECh. 11.2 - Prob. 97ECh. 11.2 - Prob. 98ECh. 11.3 - Find (a) u.v (b) u.u (c) (b) (c)(d) (e) v(f)...Ch. 11.3 - Prob. 2ECh. 11.3 - Find (a) u.v (b) u.u (c) (b) (c)(d) (e) v(f)...Ch. 11.3 - Finding Dot Products In Exercises 18, find (a) u...Ch. 11.3 - Prob. 5ECh. 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 - Finding the Angle Between Two Vectors In Exercises...Ch. 11.3 - Finding the Angle Between Two Vector In Exercises...Ch. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 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 - The vertices of a triangle are given. Determine...Ch. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Finding Direction Angles In Exercises 31-36, find...Ch. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Finding Direction Angles In Exercises 31-36, find...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - (a) Find the projection of u onto v and (b) find...Ch. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Finding the Projection of u onto v In Exercises...Ch. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - When the projection of u onto v has the same...Ch. 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 - Prob. 65ECh. 11.3 - Prob. 66ECh. 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. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Use vectors to prove that parallelogram is a...Ch. 11.3 - Consider a regular tetrahedron with vertices...Ch. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.3 - Prob. 77ECh. 11.3 - Prob. 78ECh. 11.4 - Cross Product of Unit Vectors In Exercises 3-6,...Ch. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 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 - Prob. 11ECh. 11.4 - Finding a Cross Product In Exercises 1116, find u...Ch. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 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. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 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. 28ECh. 11.4 - Torque The brakes on a bicycle are applied using a...Ch. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Finding a Triple Scalar Product In Exercises...Ch. 11.4 - Finding a Triple Scalar Product In Exercises...Ch. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Volume In Exercises 35 and 36. use the triple...Ch. 11.4 - Prob. 38ECh. 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. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - Prob. 46ECh. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 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. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - Prob. 54ECh. 11.4 - Prob. 55ECh. 11.4 - Proof In Exercises 47-52. prove the property of...Ch. 11.4 - Prob. 57ECh. 11.4 - Proof Prove that u(vw)=(uw)v(uv)wCh. 11.4 - Prob. 59ECh. 11.5 - CONCEPT CHECK Parametric and Symmetric Equations...Ch. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Finding Parametric and Symmetric Equations In...Ch. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 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 - Finding a Point of Intersection In Exercises...Ch. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Checking Points in a Plane In Exercises 37 and 38,...Ch. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 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 - Finding an Equation of a Plane In Exercises45-56....Ch. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 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. 75ECh. 11.5 - Prob. 76ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Comparing Planes In Exercises 69-74, determine...Ch. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Intersection of a Plane and a Line In Exercises...Ch. 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. 96ECh. 11.5 - Prob. 97ECh. 11.5 - Prob. 98ECh. 11.5 - Prob. 99ECh. 11.5 - HOW DO YOU SEE IT? Match the general equation with...Ch. 11.5 - Prob. 101ECh. 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. 104ECh. 11.5 - Prob. 105ECh. 11.5 - Prob. 106ECh. 11.5 - Prob. 107ECh. 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. 11.6 - Prob. 28ECh. 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. 3ECh. 11.6 - Prob. 4ECh. 11.6 - Prob. 5ECh. 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 - Prob. 10ECh. 11.6 - Prob. 11ECh. 11.6 - Prob. 12ECh. 11.6 - Prob. 17ECh. 11.6 - Sketching a Quadric Surface In Exercises15-26,...Ch. 11.6 - Prob. 15ECh. 11.6 - Prob. 20ECh. 11.6 - Prob. 13ECh. 11.6 - Prob. 18ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 21ECh. 11.6 - Prob. 24ECh. 11.6 - Prob. 19ECh. 11.6 - Prob. 16ECh. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 29ECh. 11.6 - Prob. 30ECh. 11.6 - Prob. 36ECh. 11.6 - Prob. 31ECh. 11.6 - Finding an Equation of a Surface of Revolution In...Ch. 11.6 - Prob. 33ECh. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - Prob. 39ECh. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 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. 48ECh. 11.6 - Think About It Three types of classic topological...Ch. 11.6 - Prob. 49ECh. 11.6 - Prob. 50ECh. 11.6 - Prob. 51ECh. 11.6 - Prob. 52ECh. 11.7 - Prob. 1ECh. 11.7 - Prob. 2ECh. 11.7 - Prob. 3ECh. 11.7 - Prob. 4ECh. 11.7 - Prob. 5ECh. 11.7 - Cylindrical-to-Rectangular Conversion In Exercises...Ch. 11.7 - Prob. 7ECh. 11.7 - Prob. 8ECh. 11.7 - Prob. 9ECh. 11.7 - Prob. 10ECh. 11.7 - Rectangular-to-Cylindrical Conversion In Exercises...Ch. 11.7 - Prob. 12ECh. 11.7 - Prob. 13ECh. 11.7 - Prob. 14ECh. 11.7 - Prob. 15ECh. 11.7 - Rectangular-to-Cylindrical Conversion In Exercises...Ch. 11.7 - Prob. 17ECh. 11.7 - Prob. 18ECh. 11.7 - Prob. 19ECh. 11.7 - Prob. 20ECh. 11.7 - Prob. 21ECh. 11.7 - Prob. 22ECh. 11.7 - Prob. 23ECh. 11.7 - Cylindrical-to-Rectangular Conversion In Exercises...Ch. 11.7 - Prob. 25ECh. 11.7 - Prob. 26ECh. 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 - Spherical-to-Rectangular Conversion In...Ch. 11.7 - Prob. 40ECh. 11.7 - Prob. 37ECh. 11.7 - Prob. 38ECh. 11.7 - Prob. 39ECh. 11.7 - Prob. 36ECh. 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 - Spherical-to-Rectangular Conversion In Exercises...Ch. 11.7 - Prob. 63ECh. 11.7 - Cylindrical-to-Spherical Conversion In Exercises...Ch. 11.7 - Prob. 68ECh. 11.7 - Prob. 69ECh. 11.7 - Prob. 70ECh. 11.7 - Prob. 71ECh. 11.7 - Prob. 72ECh. 11.7 - Prob. 75ECh. 11.7 - Prob. 76ECh. 11.7 - Prob. 77ECh. 11.7 - Prob. 78ECh. 11.7 - Prob. 57ECh. 11.7 - Prob. 58ECh. 11.7 - Prob. 59ECh. 11.7 - Prob. 60ECh. 11.7 - Prob. 61ECh. 11.7 - Prob. 62ECh. 11.7 - Prob. 80ECh. 11.7 - Prob. 82ECh. 11.7 - Prob. 84ECh. 11.7 - Prob. 85ECh. 11.7 - Prob. 86ECh. 11.7 - Prob. 87ECh. 11.7 - Prob. 65ECh. 11.7 - Prob. 66ECh. 11.7 - Prob. 67ECh. 11.7 - Prob. 73ECh. 11.7 - Prob. 74ECh. 11.7 - Prob. 79ECh. 11.7 - Prob. 81ECh. 11.7 - Prob. 83ECh. 11.7 - Prob. 88ECh. 11.7 - Prob. 89ECh. 11.7 - Prob. 90ECh. 11.7 - Prob. 91ECh. 11.7 - Sketching a Solid In Exercises 87-90, sketch the...Ch. 11.7 - Prob. 93ECh. 11.7 - Sketching a Solid In Exercises 87-90, sketch the...Ch. 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. 11.7 - Prob. 105ECh. 11.7 - Prob. 106ECh. 11.7 - Prob. 107ECh. 11.7 - Prob. 108ECh. 11.7 - Prob. 109ECh. 11.7 - Prob. 110ECh. 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 - Prob. 38RECh. 11 - Torque The specifications for a tractor state that...Ch. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Finding Parametric and Symmetric Equations In...Ch. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Finding an Equation of a Plane In Exercises 41-44,...Ch. 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 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 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. 19PSCh. 11 - Prob. 20PS
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- Technology Write a program for your graphing utility that graphs two vectors and their difference given the vectors in component formarrow_forwardError Analysis Describe the error in finding the component form of the vector u that has initial point 3,4 and terminal point 6,1. The components are u1=36=9and u2=41=5. So,u=9,5.arrow_forwardFinding the Difference of Two Vectors In Exercises 103 and 104, use the program in Exercise 102 to find the difference of the vectors shown in the figure.arrow_forward
- Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)arrow_forwardFill in the blanks. The vectors u and v are if and only if uv=0.arrow_forwardQ1(A): [9 Marks] Two vectors A and B are located at P1(2,2,2) and P2(2,-2,-2). Write vector notation for each starting from the origin. What will be the distance between both vectors? Determine the dot product and the angle between them.arrow_forward
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