Calculus

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Normal line to paraboloid tangent plane.

3D diagram illustrating a paraboloid with a tangent plane at point (1,1,7)(1,1,7) and a dashed normal line extending perpendicularly through the point of contact. The x, y, and z-axes mark the coordinates.

This diagram illustrates the geometry of a tangent plane and normal line on a paraboloid in a 3D coordinate system. The image depicts a paraboloid surface, represented as a smooth, upward-opening shape. A tangent plane T, intersects the paraboloid at a specific point (1, 1, 7), and the normal line L, is shown representing the direction perpendicular to the tangent plane.

This illustration is ideal for calculus and analytical geometry textbooks and online courses.

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