Question 7 (Mandatory) (1 point) \\/ Saved A line passes through the points M(O, 1, 4) and N(1, 4, 5). Find a vector equation of the line. a) [x,y,z] = [I], l, 4] +.t[l, 3, l] b) [x,y,z] = [1, 3, l] +[l], l, 4] ) c) [x,y, z] = [I], l, 4] + :[l, 4, 5] i d) [x,y,z] = [1, 3, l]+:[l, 4, 5] Question 13 (Mandatory) (1 point) Saved The parametric equations of a plane are x =s+t y = 1+. Find a scalar equation of the z=1-5 plane. a) x+y+2=0 b) x- y+2 =0 c) x-y+2+2 =0 d) x-y+z- 2=0Question 9 (Mandatory) (1 point) Saved Write the scalar equation of the plane with normal vector # = [1, 2, 1] and passing through the point (3, 2, 1). ) x + 2y+2+8 =0 b) x + 2y+2-8 =0 c) 3x + 2y+2-8 =0 d) 3x + 2y+2+8 =0Question 10 (Mandatory) (1 point) V Saved The equation of a plane is [x, ), z] = [3, 1, 3] + s[-1, 1, 2] + #[2, 1, 1]. Find a normal vector to the plane. ) a) [-1, 5, -3] b) [-1, 1, 2] ) c) [3, 1, 3] J d) [2, 1, 1]Question 11 (Mandatory) (1 point) Saved The equation of a plane is 3x - 5y + 7z+ 3 = 0 Find a normal vector to the plane. ) [3, 0, 0] b) [3, -5, 71 c) [0, 0, 7] d) [o, - 5, 0]Question 8 (Mandatory) (1 point) Saved Write the scalar equation of the line with normal vector *= [1, 3] and passing through the point (2, - 1). a) x+ 3y- 1 =0 ) b) x+ 3y+ 1 =0 ) c) 2x-y+1 =0 d) 2x-y- 1 = 0Question 12 (Mandatory) (1 point) \\/ Saved Find the intersection point of the two lines: [X, y] = [1,2] + t[2, 1] and [X, y] = [0, 3] + t[3, -2]. A a) [1, 2] b) [1. 3] C) [3. l]