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GeoGebraGeoGebra Classroom

Tangent plane to a parametrized surface

In the pane on the right, drag the blue dot within the -square to see how a surface is parametrized with the variables and . You can also change the bounds on and , and you can change the functions , , and . The plane tangent the surface at the point (corresponding to ) is perpendicular to the cross product evaluated at the point .