Let a 4 10 2 and b 5 1 2 be vectors Find the scalar vector

Let a = (-4, 10, -2) and b = (5, 1, 2) be vectors. Find the scalar, vector, and orthogonal projections of b onto a.

scalar projection (?)
Vector Projection ( , , )
Orthogonal Projection: ( , ,)

scalar b onto a = |b|cos(theta) = a.b / |a| = 6/sqrt(120) = 0.548 vector proj= scalar proj*vector = .548*(-4,10,-2) orthogonal proj = b-vector proj = (5,1,2) - .548*(-4,10,-2)