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Published byKelly Douglas Modified over 9 years ago
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GGraph points and linear equations in three dimensions.
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tthree-dimensional coordinate system oordered triple zz-axis
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AA Global Positioning System (GPS) gives llocations using the three coordinates of latitude, longitude, and elevation. YYou can represent any location in three- dimensional space using a three- dimensional coordinate system, sometimes called coordinate space.
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EEach point in coordinate space can be represented by an ordered triple of the form (x, y, z). TThe system is similar to the coordinate plane but has an additional coordinate based on the z-axis. NNotice t hat the axes form three planes that intersect at the origin.
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RRecall that the graph of a linear equation in two dimensions is a straight line. IIn three-dimensional space, the graph of a linear equation is a plane. BBecause a plane is defined by three points, you can graph linear equations in three dimensions by finding the three intercepts.
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PPage 216 11-17
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