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

Correct answer:

v1 =  2.1186
v2 =  -2.1186
v3 =  -1.2712
w1 =  -4.1186
w2 =  -1.8814
w3 =  -3.7288

Step-by-step explanation:

v2=(−2.1186)=−2.1186
v3=(−1.2712)=−1.2712
w1=(−4.1186)=−4.1186
w2=(−1.8814)=−1.8814
w3=(−3.7288)=−3.7288

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