Three people are standing on a plane (the flat surface kind). The first person is standing at the origin. The second person is standing at an elevation of 2m higher, 7m [E] and 7m [N] of the first person. The third person is standing at an elevation 3m below and 4m west of the first person.

Note: East is positive in the x direction, North is positive in the y direction.

a) Determine the vector and parametric equations of the plane the three people are standing on (4 marks)

b) If a fourth person is standing 5m east of the first person, are all 4 people standing on a plane? Justify your answer. If the fourth person is not on the plane, how can you alter their position so that they are on the plane? (3 marks)