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Orthogonal Projection of Vectors | Linear Algebra
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We introduce the orthogonal projection of a vector u along a vector a, and discuss the vector component of u orthogonal to a. We will decompose u into a sum of a vector parallel to a and a vector orthogonal to a. We see how this works in the plane and then generalize to higher dimensions and do an example of finding the orthogonal projection of a vector and the vector component orthogonal to a given vector in R^3. #linearalgebra
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