plz help........

10. Write the scalar equation of the line through the point Q (4, -1) with normal [3, 5]. [3 marks] 11. Determine the intersection of the lines below. [4 marks] Line 1: x = 1 + 3t, y = 5t, z = 4t - 3 Line 2: [X, y, z] = [0, -9, -1] + s [-1, 2, -3] 12. Find a vector equation and the parametric equations of the plane that contains the point (3, -5, 1) and is parallel to [x, y, z] = [-5, 2, -5] + t [3, -1, 1] + s [1, 1, 1]. [4 marks] 13. Find a vector and scalar equation of the plane containing the points G (4, 1, -1), H (0, 1, 2), and I (1, 1, -1). [5 marks] 14. Determine if the line and the plane intersect. If so, determine the point(s) of intersection. [3 marks] Plane 1: [x, y, z] = [4, 6, 0] + t [-1, 2, 1] Plane 2: 2x - y + 4z + 10 = 0Calculate the volume of the parallelepiped defined by U = [3, -2, 6], V= [5, 0, 1] andw = [7, 6, 3]. [3 marks] If i = (6,4) and = 10 [N28E] a. convert 1 into geometric form and then determine |1 + #|. [5 marks] b. convert into component form and then determine the true bearing direction of U v. [4 marks] A plane is traveling at 250 km/hr on a heading of N18E into a 35 km/hr wind from N70W. Determine the plane's ground velocity. [5 marks] A line passes through the point (4, 3) with direction vector [1, 5]. a. Determine the parametric equations of the line? [2 marks] b. What point on the line corresponds to the parameter value t = 2?7 [2 marks] c. Does the line contain the point P (3, =7)? [2 marks] Find a vector equation and the parametric equations of a line through the points A (1,-3,2)and B (9, 2, 0). [6 marks]