Question 6 (7 points) Three people are standing on a plane (the flat surface kind). The...

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Question 6 (7 points) 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 3m higher, 6m [E] and 6m [N] of the first person. The third person is standing at an elevation 2m below and 5m 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 4m 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) Question 6 (7 points) 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 3m higher, 6m [E] and 6m [N] of the first person. The third person is standing at an elevation 2m below and 5m 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 4m 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)