Consider the vector v = (3, 4, 5)^T, calculate the orthogonal projection

[Distance from a vector to a plane]. Consider the vector v = (3, 4, 5)^T and the plane P: x + y + z = 0, which is a subspace of R^3 and has dimension 2

(a) Calculate the orthogonal projection of V over P 
(b) Calculate the orthogonal projection of V over n, the normal vector to P

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