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Linear AlgebraEasyOrthogonality & Least Squares

Orthogonality & Least Squares · Easy problem

The vectors u1=(1,1,0)\mathbf u_1 = (1, 1, 0) and u2=(1,−1,1)\mathbf u_2 = (1, -1, 1) are orthogonal and span a plane WW. Let b^\hat{\mathbf b} be the orthogonal projection of b=(3,1,2)\mathbf b = (3, 1, 2) onto WW. Find the third entry of b^\hat{\mathbf b}.