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Home Vectors Planes in Space Examples Example 2: Sketching a Plane Where Two of a, b, c Are Nonzero and d ≠ 0.)
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Example 2: Sketching a Plane Where Two of a, b, c Are Nonzero and d ≠ 0.)

Sketch the plane 2x + z = 4.

Step 1

Find the points where the plane crosses the x- and z-axes.

The plane crosses the x-axis at (2, 0, 0).

The plane crosses the z-axis at (0, 0, 4).

10_vectors-176.gif

Figure 10.5.3

Step 2

The plane is parallel to the y-axis.

Draw a rectangle with two sides parallel to the y-axis and two sides parallel to the line segment from

(2, 0, 0) to (0, 0, 4),

as in Figure 10.5.3.

This rectangle lies in the plane.

Home Vectors Planes in Space Examples Example 2: Sketching a Plane Where Two of a, b, c Are Nonzero and d ≠ 0.)

Last Update: 2006-11-15