P Preparation For Calculus 1 Limits And Their Properties 2 Differentiation 3 Applications Of Differentiation 4 Integration 5 Logarithmic, Exponential, And Other Transcendental Functions 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 Parametric and Symmetric EquationsGive the parametric equations and the symmetric... Problem 2E Problem 3E Problem 4E: CONCEPT CHECK Parallel Planes Explain how to find the distance between two parallel planes. Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E: Finding Parametric and Symmetric Equations In Exercises 7-12, find sets of (a) parametric equations... Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E: Finding Parametric and Symmetric Equations In Exercises 13-16, find sets of (a) parametric equations... Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E: Determining Parallel Lines In Exercises 29-32, determine whether the lines are parallel or... Problem 30E: Determining Parallel Lines In Exercises 29-32, determine whether the lines are parallel or... Problem 31E Problem 32E: Determining Parallel Lines In Exercises 29-32, determine whether the lines are parallel or... Problem 33E: Finding a Point of IntersectionIn Exercises 3336, determine whether the lines intersect, and if so,... Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E: Finding an Equation of a PlaneIn Exercises 3944, find an equation of the plane that passes through... Problem 41E: Finding an Equation of a PlaneIn Exercises 3944, find an equation of the plane that passes through... Problem 42E Problem 43E Problem 44E: Finding an Equation of a PlaneIn Exercises 3944, find an equation of the plane that passes through... Problem 45E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 46E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 47E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 48E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 49E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 50E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 51E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 52E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 53E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 54E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 55E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 56E: Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given... Problem 57E: Finding an Equation of a PlaneIn Exercises 5760, find an equation of the plane that contains all the... Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E: Parallel PlanesIn Exercises 6164, determine whether the planes are parallel or identical.... Problem 64E Problem 65E: Intersection of PlanesIn Exercises 6568, (a) find the angle between the two planes and (b) find a... Problem 66E: Intersection of PlanesIn Exercises 6568, (a) find the angle between the two planes and (b) find a... Problem 67E: Intersection of PlanesIn Exercises 6568, (a) find the angle between the two planes and (b) find a... Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E: Intersection of a Plane and a LineIn Exercises 8386, find the point(s) of intersection (if any) of... Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E: Finding the Distance Between Two Parallel PlanesIn Exercises 9194, verify that the two planes are... Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E: EXPLORING CONCEPTS PlanesConsider a line and a point not on the line. How many planes contain the... Problem 102E Problem 103E Problem 104E: HOW DO YOU SEE IT? Match the general equation with its graph. Then state what axis or plane the... Problem 105E Problem 106E: Mechanical Design The figure shows a chute at the top of a grain elevator of a combine that funnels... Problem 107E: DistanceTwo insects are crawling along different lines in three-space. At time t (in minutes), the... Problem 108E Problem 109E: Finding a Point of IntersectionFind the point of intersection of the plane 3xy+4z=7 and the line... Problem 110E Problem 111E: Finding Parametric EquationsFind a set of parametric equations for the line passing through the... Problem 112E Problem 113E Problem 114E: True or False? In Exercises 113118, determine whether the statement is true or false. If it is... Problem 115E Problem 116E Problem 117E Problem 118E format_list_bulleted