ch12s1

# ch12s1 - 12.1 Three-Dimensional Coordinate System In...

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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 -axis , etc., and we write =( , , ). Often the -axis is imagined to be horizontal and pointing roughly toward the viewer (out of the page), the -axis also horizontal and pointing more or less to the right, and the -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 =0, =0, =0 is the origin , where the three axes intersect. In Cartesian coordinates, =(4.2,3.4,2.2). If you drop a perpendicular from P to the xy-plane, we get a point Q with coordinate (a,b,0)

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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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ch12s1 - 12.1 Three-Dimensional Coordinate System In...

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