Steps in plotting points on 3D axes drawn in 2D:
By the end of these steps, you will have plotted the desired point, and also have sketched a locator-box that shows any observer where the point is located in space.
To plot the point (X,Y,Z):
1. Draw and label omniscient view of axes | |
2. Mark a vertex X units along the x axis | |
3. Draw a dashed vertical line Y units from that point (up if Y is positive, down if Y is negative).
Connect that point to (0,Y,0) on the y-axis.
These two lines along with the x-axis and y-axis will |
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4. Go back to the point (X,0,0), and repeat the above step for the z-coordinate.
That is, draw a dashed horizontal line Z units (X,0,0)
Connect that point to (0,0,Z) on the z-axis.
These two lines along with the x-axis and z-axis will | |
5. Draw a dashed vertical line from (0,0,Z) up or down to the point (0,Y,Z).
Connect this new point to the point (0,Y,0) with a
These two lines along with the y-axis and the z-axis | |
6. Now we are finally ready to plot point (X,Y,Z), along with the last of the dashed lines that together will show any observer where our point is located in space.
Draw dashed line segments horizontally from point (X,Y,0), Where these segments intersect is the desired point (X,Y,Z).
If all has gone well, all the dashed lines, along with the axes, |