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Linear AlgebraEasyOrthogonality & Least Squares

Orthogonality & Least Squares · Easy problem

Let b^\hat{\mathbf b} be the orthogonal projection of b=(3,1,4)\mathbf b = (3, 1, 4) onto the plane x−y+z=0x - y + z = 0 in R3\mathbb R^3. Find the second entry of b^\hat{\mathbf b}.