In the following, find the vector representing the area of a surface. The magnitude of the vector equals the magnitude of the area; the direction is perpendicular to the surface. Since there are two perpendicular directions, we pick one by giving an orientation for the surface.
(a) The area vector vec(1) for the rectangle with vertices (0,0,0), (-3,0,0) ,(-3,2,0), and (0,2,0), oriented so that it faces downward.
(b) The area vector vec(2) for a circle of radius 3 in the yz-plane, facing in the direction of the positive x-axis.

Question

19-06-2024
Mathematics

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In the following, find the vector representing the area of a surface. The magnitude of the vector equals the magnitude of the area; the direction is perpendicular to the surface. Since there are two perpendicular directions, we pick one by giving an orientation for the surface.
(a) The area vector vec(1) for the rectangle with vertices (0,0,0), (-3,0,0) ,(-3,2,0), and (0,2,0), oriented so that it faces downward.
(b) The area vector vec(2) for a circle of radius 3 in the yz-plane, facing in the direction of the positive x-axis.

Sagot :

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