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Home Vectors Planes in Space Examples Example 1: For sketching a plane where a, b, c and d are nonzero.
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Example 1: For sketching a plane where a, b, c and d are nonzero.

Sketch the plane x + 2y + z = 2.

Step 1

Find the points where the plane crosses the coordinate axes,

x-axis: When y = z = 0, x = 2. The plane crosses the x-axis at (2, 0, 0).

y-axis: When x = z = 0, y = 1. The plane crosses the y-axis at (0, 1, 0).

z-axis: When x = y = 0, z = 2. The plane crosses the z-axis at (0, 0, 2).

10_vectors-175.gif

Figure 10.5.2

Step 2

Draw the triangle connecting these three points, as shown in Figure 10.5.2.

This triangle lies in the plane.

 
Home Vectors Planes in Space Examples Example 1: For sketching a plane where a, b, c and d are nonzero.

Last Update: 2006-11-15