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Home Vector Calculus Surface Area and Surface Integrals Examples Example 1
 
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Example 1

EXAMPLE 1 Find the area of the triangle cut from the plane 2x + 3y + z = 1 by the coordinate planes.

Step 1

Sketch the region as in Figure 13.5.3.

13_vector_calculus-268.gif

Figure 13.5.3

Step 2

The plane intersects the (x, y) plane on the line

13_vector_calculus-269.gif

Thus D is the region

13_vector_calculus-270.gif

Step 3

On the surface,

13_vector_calculus-271.gif

Then

13_vector_calculus-272.gif

Home Vector Calculus Surface Area and Surface Integrals Examples Example 1

Last Update: 2006-11-22