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chap12sec1 - 12.1 Three-Dimensional Coordinate System...

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12.1 Three-Dimensional Coordinate System In  Cartesian coordinates  (or  rectangular coordinates ), a point P is referred to by three real numbers, indicating  the positions of the perpendicular projections from the point to three fixed, perpendicular, graduated lines, called the  axes . If  the coordinates are denoted x, y, z, in that order, the axes are called the  x-axis , etc., and we write P=(x,y,z). Often the x-axis  is imagined to be horizontal and pointing roughly toward the viewer (out of the page), the y-axis also horizontal and pointing  more or less to the right, and the z-axis vertical, pointing up. The system is called  right-handed  if it can be rotated so the  three axes are in this position. The figure below shows a right-handed system. The point x=0, y=0, z=0 is the  origin , where the  three axes intersect.  In Cartesian coordinates, P=(4.2,3.4,2.2).

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This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.

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chap12sec1 - 12.1 Three-Dimensional Coordinate System...

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