1. A line passes through the points A (7, -4) & B (-5, -2). Find a vector equation of the line. a) [x. y] = [7, -4] + +[-5, -2] b) [x. y] = [7, -4] + +[-2, -6] c) [x. y] = [-5, -2] + +[-12, 2] d) [x. y] = [12, -2] + t[7, 4] 2. A line has slope -3 and x-intercept 5. Find a vector equation of the line. a) [x. y] = [-3, 1] + + [5, 0] b) [x. y] = [0, 5] + t [-3, 1] c) [x. y] = [5, 0] + +[-1, 3] d) [x. y] = [-1, -3] + +[0, 5] 3. Write the scalar equation of the plane with normal vector n = [3, 2, 1] and passing through the point (4, 5, 6). a) 3x + 2y + z - 28=0 b ) 4x + 5y+ 6z +28=0 c) 3x + 2y + z+28 =0 d) 4x + 5y + 6z - 28 =0 4. A plane passes through the origin and has the direction vectors [-1, -2, -3] and [-1, 3, -2]. Find a scalar equation of the plane. a) -x - 2y - 3z =0 b) 13x+ y - 5z = 0 c) -x+ 3y - 2z =0 d) 5y + z =0