Orthogonal Projection of Vectors

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This video defines what we mean by the orthogonal projection of a vector u onto some other vector y. This computation can be performed using dot products when working with vectors in Rn. The projection tells us how much of the vector u "lies along" the vector y. This projection operation is defined to ensure the resulting error vector is orthogonal to the projection. We draw several figures to get an intuitive feel of how this projection operation behaves, derive the equation for the projection operation that was used in the previous video, and also provide a full example.

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The previous video in this playlist is:
Representing Vectors with an Orthogonal Basis -    • Representing Vectors with an Orthogon...  

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