Tangent Plane Equation
The equation of the tangent plane is given by: a(x – x0) + b(y – y0) + c(z – z0) = 0
Here,
- (x0, y0, z0) represents the coordinates of the given point
- (a, b, c) are the values obtained by evaluating the partial derivatives at that point.
Tangent Plane to a Surface
A tangent plane is a flat surface that touches a curve or surface at a single point, sharing the same slope or direction at that point, facilitating local approximation in calculus. This article discusses tangent planes, which are flat surfaces that touch curves or surfaces at specific points. It explains their definition, how to calculate them, and their geometric interpretation. It also explores their applications in various fields like engineering, physics, and computer graphics.
Table of Content
- Definition of Tangent Plane
- How to Find the Tangent Plane to a Surface
- Tangent Plane Equation
- Geometric Interpretation of the Tangent Plane
- Applications of Tangent Plane to a Surface
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