Habluka's Weekly Challenge #2

[Roflcopter]

Let f(x) be a linear function and let Vector V have a magnitude m and a direction theta. Find the orthogonal projection of V onto f(x).

I'll have a go at them later, but can we assume that we're working in R^2 since you say V has a direction θ? You'd need two angles given the magnitude to define a vector in R^3 (unless the magnitude is 0).