Problem 3 Consider the lines ti(t) = (1,0,–2)t + (1, -3, 2) and (t) = (0,1,…

Problem 3 Consider the lines ti(t) = (1,0,–2)t + (1, -3, 2) and (t) = (0,1, -1)t + (2,0,1). (a) Find their direction vectors vị and v2. (b) Are the given lines parallel? Are they orthogonal? Explain your answers. (c) Find a parametric equation for the plane spanned by vị and V2. vers (d) Find a vector that is perpendicular to both vì and v2. (e) Find a Cartesian equation of the plane containing Vị and vŻ and passing through the point P = (1, 2, 1).