a) Find an equation of the hyperplane through the points (1, 0, 0, 0), (2,1, 0, 0), (0,1,1, 0), and (0, 4, 0,1).
b) Find an equation of the hyperplane that contains the lines ɸ(t) = (t, t, t, 1) and ψ(t) = (1, t, 1 + t, t), t ∈ R.
c) Find an equation of the plane parallel to the hyperplane x1 + ∙ ∙ ∙ ∙ + xn = × passing through the point (1, 2, ∙ ∙ ∙ ∙ ∙n).