I need solve this assignment

Work Problem [60 points]: Solve the following questions. Write step by step solutions and justify your answers. I) [30 POINTS] Find parametric equations for : a) the line through (4, 1, 2) and (1, 1, 5). b) the line through 1, 0, 1) and parallel to theline 311w 4) = %y = z+ 2. c) the line through (-2.24) and perpendicular to the plane 23: y + 5.3 = 12. II) [30 POINTS] Consider the two vectors u = andv =. a) Find |u| and |v|. b)Findu x 1), In x v|andu.v. c) Prove that:|u X "0|2 + (71.102 = |u|2|v|2