Parallel and orthogonal

I need math help in this problem: a=(-5, 5 3) b=(-2,-4,-5) (they are vectors)
Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a, find v and w

Result

v1 =  2.119
v2 =  -2.119
v3 =  -1.271
w1 =  -4.119
w2 =  -1.881
w3 =  -3.729

Solution:




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