Equation of a Plane: Derivation Using the Dot Product


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    Published on Mar 19, 2023
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    In this video I go over the equation of a plane and derive it by using the Dot Product. A plane is a flat set of points in 3D. If we draw a vector parallel to it and another vector perpendicular (or normal) to the plane, then the resulting dot product of these 2 vectors must equal 0. This can then be used to derive the equation of a plane. I write the equation in 2 forms, a longer one and a shortened one that replaces the constants with the term "d".

    This video was taken from my earlier video listed below:

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    mathematics dot product equation of a plane stemgeeks stemsocial palnet proofofbrain science vectors

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