 ##  [Orthogonal Projection](/orthogonal-projection) 

  ##  [Orthogonal Projection](https://puremath.quantumdictionary.io/orthogonal-projection-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A linear map on an inner-product (Euclidean) space that sends each vector to the unique closest point in a specified linear subspace by moving along directions orthogonal to that subspace.