Math Help: Understanding Plane Equations
Getting Started with Plane Equations
If you're struggling to understand plane equations, don't worry! This guide provides simple examples to help you get started.
Example 1: Describing a Plane
Let's say you're given the equation x + y + z = 5. This describes a plane that is parallel to the xy-plane and intersects the z-axis at (0, 0, 5).
Example 2: Finding the Equation of a Plane
If you know three points on a plane, you can use them to find the equation of the plane. For instance, if you know (1, 1, 0), (0, 2, -1), and (1, 0, 1), you can find the equation 2x + y + z = 0.
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