1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
11.1 Vectors In The Plane 11.2 Space Coordinates And Vectors In Space 11.3 The Dot Product Of Two Vectors 11.4 The Cross Product Of Two Vectors In Space 11.5 Lines And Planes In Space 11.6 Surfaces In Space 11.7 Cylindrical And Spherical Coordinates Chapter Questions expand_more
Problem 1E: CONCEPT CHECK Scalar and Vector Describe the difference between a scalar and a vector. Give examples... Problem 2E: CONCEPT CHECK Vector Two points and a vector are given. Determine which point is the initial point... Problem 3E: Sketching a Vector In Exercises 3 and 4, (a) find the component form of the vector and (b) sketch... Problem 4E: Sketching a Vector In Exercises 3 and 4, (a) find the component form of the vector * and (b) sketch... Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: Writing a Vector in Different Forms In Exercises 9-16, the initial and terminal points of a vector v... Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E: Finding a Terminal Point In Exercises 17 and 18, the vector v and its initial point are given. Find... Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E: Sketching Scalar Multiples In Exercises 25 and 26, sketch each scalar multiple of v. v=2,3 (a) 4v... Problem 27E Problem 28E Problem 29E: Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an... Problem 30E: Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an... Problem 31E: Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an... Problem 32E: Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an... Problem 33E: Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an... Problem 34E: Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an... Problem 35E: Finding a Unit Vector In Exercises 35-38, And the unit vector in the direction of * and verify that... Problem 36E Problem 37E Problem 38E: Finding a Unit Vector In Exercises 35-38, And the unit vector in the direction of v and verify that... Problem 39E: Finding Magnitudes In Exercises 39-42, find the following. (a) u (b) v (c) u+v (d) |uu (e) vv (f)... Problem 40E: Finding Magnitudes In Exercises 39-42, find the following. u v u+v |uu vv u+vu+v u=0,1,v=3,3 Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E: Finding a Vector In Exercises 53-56, find the component form of u+v given the lengths of u and v and... Problem 55E: Finding a Vector In Exercises 53-56, find the component form of u+v given the lengths of u and v and... Problem 56E Problem 57E: EXPLORING CONCEPTS Think About It In Exercises 57 and 58, consider two forces of equal magnitude... Problem 58E Problem 59E Problem 60E Problem 61E: Finding Values In Exercises 61-66, find a and b such that v=au+bw, where u=1,2 and w=1,1. v=4,5 Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E: Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to... Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E: Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to... Problem 73E Problem 74E Problem 75E Problem 76E: Numerical and Graphical Analysis Forces with magnitudes of 180 new tons and 275 new tons act on a... Problem 77E Problem 78E Problem 79E: Cable Tension In Exercises 79 and 80, determine the tension in the cable supporting the given load. Problem 80E: Cable Tension In Exercises 79 and 79, determine the tension in the cable supporting the given load. Problem 81E Problem 82E Problem 83E: Navigation A plane is flying with a bearing of 302o.Its speed with respect to the air is 900... Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E: True or False? In Exercises 85-94, determine whether the statement is true or false. If it is false,... Problem 93E Problem 94E Problem 95E Problem 96E: Geometry Using vectors, prove that die line segment joining the midpoints of two sides of a triangle... Problem 97E Problem 98E Problem 99E Problem 100E: PUTNAM EXAM CHALLENGE A coast artillery gun can fire at any angle of elevation between 0� and 90o... format_list_bulleted