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 Problem 2E Problem 3E: Finding Dot ProductsIn Exercises 310, find (a) uv (b) uu (c) v2 (d) (uv)v, and (e) u(3v).... Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E: Finding the Angle Between Two Vectors In Exercises 1118, find the angle between the vectors (a) in... Problem 13E: Finding the Angle Between Two Vectors In Exercises 1118, find the angle between the vectors (a) in... Problem 14E Problem 15E: Finding the Angle Between Two Vectors In Exercises 1118, find the angle between the vectors (a) in... Problem 16E: Finding the Angle Between Two Vectors In Exercises 1118, find the angle between the vectors (a) in... Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E: Comparing VectorsIn Exercises 2126, determine whether u and v are orthogonal, parallel, or neither.... Problem 22E Problem 23E Problem 24E: Comparing VectorsIn Exercises 2126, determine whether u and v are orthogonal, parallel, or neither.... Problem 25E: Comparing VectorsIn Exercises 2126, determine whether u and v are orthogonal, parallel, or neither.... Problem 26E Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E: Finding the Projection of u onto v In Exercises 37-44, (a) find the projection of u onto v and (b)... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E: Projection What can be said about the vectors u and v when projection of u onto v equals u? Problem 47E: Projection When the projection of u onto v has the same magnitude as the projection of v onto u, can... Problem 48E Problem 49E: Revenue The vector u= 3240,1450,2235 gives the number of hamburgers, chicken sandwiches and... Problem 50E: RevenueRepeat Exercises 49 after decreasing the prices by 2%. Identify the vector operation used to... Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E: Proof Use vectors to prove that the diagonals of a rhombus are perpendicular. Problem 70E: Proof Use vectors to prove that a parallelogram is a rectangle if and only if its diagonals are... Problem 71E: Bond AngleConsider a regular tetrahedron with vertices (0,0,0),(k,k,0),(k,0,k) and (0,k,k), where k... Problem 72E Problem 73E Problem 74E Problem 75E: Proof Prove the Cauchy-Schwarz Inequality, uv u v . format_list_bulleted