1. A point (3,0,5) lies on a plane that can be defined by the scalar equation + + + = 0. A normal vector, , to this plane is (2, 3,1). Find the scalar equation. [3K]

2. How many solutions are there between the plane 1: (, , ) = (4, 3, 1) + (1, 3,1) + (2,4, 3) and the line 1: (, , , ) = (3,1 2) + (1, 1,1)? If there is/are solutions, find the value of the solution(s). [4K]

3. How many solutions are there between planes 1: 2 + 2 = 2 and 2 : + 2 + = 1? If there is/are solutions, find the value of the solution(s). [4A]