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Example of Cartesian coordinate Graph:
Example: The temperature of water flowing in a high pressure line was measured at regular intervals. Plot the subsequent recorded data on a Cartesian coordinate graph.
Time (min) Temperature (°F)
0 400°
15 420°
30 440°
45 460°
60 480°
75 497°
90 497°
105 497°
120 497°
The first step is to label the x-axis and the y-axis. Let the y-axis be temperature in °F and x-axis is time in minutes.
The further step is to establish the units of measurement along each axis. The x-axis has range from 0 to 120, the y-axis from 400 to 500.
The points are then plotted one through one. Another figure shows the resulting Cartesian coordinate graph.
Figure: Cartesian coordinate Graph of Temperature vs. Time
Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
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