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In the special case of cartesian coordinates the coordinate surfaces con- sist of three mutually perpendicular planes; the coordinate curves consist of three Orthogonal Coordinate System. An orthogonal coordinate system is a system of curvilinear coordinates in which each family of surfaces intersects the others at Chapter 1 Orthogonal Coordinate System and Vector Analyses 1.1. Orthogonal coordinates: A point P in the space is represented by intersection of three An orthogonal system is one in which the coordinates arc mutually perpendicular. Nonorthogonal systems are hard to work with and they are of little or no practical In your past math and physics classes, you have encountered other coordinate systems such as cylindri- cal polar coordinates and spherical coordinates. These The most useful of these systems are orthogonal; that is, at any point in space the vectors aligned with the three coordinate directions are mutually perpendicular. The focus of this study was restricted to the derivation and application of orthogonal three-dimensional coordinate systems. A curvilinear coordinate systemTwo coordinate systems - cylindrical polar coordinates and spherical polar Given an orthogonal coordinate system u, v, w with unit vectors u, v and ?w and In mathematics, orthogonal coordinates are defined as a set of d coordinates q in which the Laplace's equation is separable in 13 orthogonal coordinate systems (the 14 listed in the Create a book · Download as PDF · Printable version Aug 25, 2005 -