Question: Please help me with my homework. Show all work. 1. Find a formula for the projection of any given vector w onto the plane u

Please help me with my homework. Show all work.

1. Find a formula for the projection of any given vector w onto the plane u . x = 0 in R where u is a known nonzero vector, not necessarily having unit length. 2. Let S be the subspace of R* spanned by the two vectors [1, 1, 1, 1] and [1, 2, 3, 4]. Let w be the vector [1, -1, 1, -1]. Find the projections of w onto S and onto S

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