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If you were expecting the equation of a plane to involve aeronautics, we''re sorry to disappoint you: This has nothing to do with flying, but it does involve three-dimensional space and it can be very useful as we move further into linear algebra! Let''s tackle the equation of a plane together:
A plane is a two-dimensional flat surface that extends infinitely in all directions. In linear algebra, we often work with planes in three-dimensional space, where each point in space can be represented by a unique set of coordinates
The equation of a plane can be described using a normal vector, which is a vector perpendicular to the plane, and a point on the plane. The normal vector is typically represented as
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