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A Collection of Problems in Analytical Geometry : Three-Dimensional Analytical Geometry.

Author: D V Kletenik; W J Langford; E A Maxwell
Publisher: Saint Louis : Elsevier Science, 2016.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Problems and exercises
Problems, exercises, etc
Additional Physical Format: Print version:
Kletenik, D.V.
A Collection of Problems in Analytical Geometry : Three-Dimensional Analytical Geometry.
Saint Louis : Elsevier Science, ©2016
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D V Kletenik; W J Langford; E A Maxwell
ISBN: 9781483155920 1483155927
OCLC Number: 953659860
Description: 1 online resource (148 pages)
Contents: Front Cover; Three-Dimensional Analytical Geometry; Copyright Page ; Table of Contents; Author's Preface to the First Russian Edition; Author's Preface to the Second Russian Edition; PART II: THREE-DIMENSIONAL ANALYTICAL GEOMETRY; CHAPTER 6. ELEMENTARY PROBLEMS OF THREE-DIMENSIONAL ANALYTICAL GEOMETRY; 27. Rectangular Cartesian Coordinates in Three-Dimensional Space; 28. Distance between Two Points. Division of an Interval in a Given Ratio; CHAPTER 7. VECTOR ALGEBRA; 29. The Concept of a Vector. Projection of a Vector; 30. Linear Operations on Vectors. 31. The Scalar Product of Two Vectors 32. The Vector Product of Two Vectors; 33. Scalar Triple Product; 34. Vector Triple Product; CHAPTER 8. EQUATION OF A SURFACE AND EQUATIONS OF CURVES; 35. Equation of a Surface; 36. Equations of a Curve. The Problem of the Intersection of Three Surfaces; 37. Equation of a Cylindrical Surface with Generators Parallel to One of the Coordinate Axes; CHAPTER 9. EQUATION OF A PLANE. EQUATIONS OF A STRAIGHT LINE. EQUATIONS OF SURFACES OF THE SECOND ORDER. 38. The General Equation of a Plane. Equation of a Plane Passing Through a Given Point and Having a Given Normal Vector 39. Degenerate Equations of a Plane. Equation of a Plane in Terms of its Intercepts on the Coordinate Axes; 40. The Normal Equation of a Plane. Distance of a Point from a Plane; 41. Equations of a Straight Line; 42. The Direction-Vector of a Straight Line. The Canonical Equations of a Straight Line. Parametric Equations of a Straight Line; 43. Miscellaneous Problems Relating to the Equation of a Plane and the Equations of a Straight Line; 44. The Sphere. 45. Equations of a Plane, a Straight Line, and a Sphere in Vector Notation 46. Surfaces of the Second Order; APPENDIX: ELEMENTS OF THE THEORY OF DETERMINANTS; 1. Determinants of the Second Order: Systems of Two Linear Equations in Two Unknowns; 2. Homogeneous System of Two First-degree Equations in Three Unknowns; 3. Determinants of the Third Order; 4. Properties of Determinants; 5. Investigation and Solution of a System of Three Linear Equations in Three Unknowns; 6. Determinants of the Fourth Order; ANSWERS TO QUESTIONS AND NOTES ON SOLUTIONS.

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