Final answer:
To draw Plane XYZ, use the Cartesian coordinate system to create a three-dimensional space on paper with a right-handed orientation for the axes. Draw and label the line segment XY on the XY plane. Finally, add line ZA intersecting XY at point E and clearly label the intersection.
Step-by-step explanation:
To draw Plane XYZ, we first represent a three-dimensional space using the Cartesian coordinate system. Imagine a flat sheet of paper representing the XY plane. If you're at point (x, y) on the paper, moving a distance z upward or downward from the plane will take you to point (x, y, z) in space. By common convention, we use the right-hand rule to decide the positive axes, meaning if your right thumb points up (positive z-direction), your index finger to the right (positive x-direction), and your middle finger away from you (positive y-direction), you have defined the positive orientation for the three axes.
Next, we draw on the plane itself. Using a ruler and protractor, draw a horizontal line for the x-axis and a vertical line for the y-axis, making sure they intersect at a 90-degree angle, which will be our origin point O. To add the third dimension, draw a line representing the z-axis perpendicular to the origin on the plane; you can make this line come straight 'out' of the paper towards you.
Now, to plot the line segment XY on Plane XYZ, begin by marking two points, X and Y, on the plane and connecting them with a ruler to form your line segment XY. Lastly, we'll plot our line ZA. We'll assume Z is on the Z-axis and A is on the plane. Draw a straight line from Z and let it intersect line segment XY at some point E, which is now the intersection point. Be sure to clearly label all points, axes, and the line segment for clarity.