How to Sketch a Point in Three-dimensional Coordinate System
We are going to use the Cardinal Direction such as the North, South, East and West to help us graph a point in three dimension. This Article will use an example in order to show How to Graph a Point in Three Dimension.
Instructions
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In order to draw the axes for three dimension, we look at the Cardinal direction and we draw the vertical axis which is called the Z-axis in the North direction. Then we draw the X-axis in the South West direction. And the Y-axis in the South East direction. Please click on the image for better understanding.
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We would like to plot the point P at coordinates (5,7,3). To do so, we go five units along the X-axis and then draw a line parallel to Y-axis that intersect the X-axis at x=5. Please click on the image for better understanding.
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We would like to plot the point P at coordinates (5,7,3).After step# 3 we go seven units along the Y-axis and then draw a line parallel to X-axis that intersect the Y-axis at y=7. Please click on the image for better understanding.
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After step# 3 and #4, we draw a line from the origin of the axes whose coordinate is (0,0,0) to the point where both the X=5 and Y=7 intersect. That point is (5,7,0).
Draw a vertical line from the point (5,7,0) parallel to the Z-axis.
Go to the Z-axis and at z=3, draw a line parallel to the line that connects the point (0,0,0) and (5,7,0). Wherever that line intersects, the vertical line from the point (5,7,0) that is parallel to the Z-axis, that intersection is our desired point. Please click on the image for better understanding. -
5
In conclusion, we can visualize a point in three dimension as the corner of a box. If we look at the image for this step #5 we see a corner of the box defined by the point P(5,7,3). Please click on the image for better understanding.
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