Honors Geometry
Orthogonal projection is the process of projecting a vector onto a subspace in such a way that the resulting vector is as close as possible to the original vector while being perpendicular to the subspace. This concept is closely tied to the idea of minimizing the distance between the original vector and its projection, which can be calculated using the dot product. The resulting projection maintains key properties of vector relationships and helps in understanding geometric interpretations in higher dimensions.
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